Evaluate the following expressions, showing your work: a) a(b+c) with a=2, b=−3, c=−5 b) a(b+c) with a=−7…

Question

Evaluate the following expressions, showing your work: a) a(b+c) with a=2, b=−3, c=−5 b) a(b+c) with a=−7, b=2, c=3 c) a(b+c) with a=1, b=−8, c=2 d) (ab)+(ac) with a=3, b=−10, c=5 e) m(n+p) with m=3,

ScanSolve AI Tutor · Accepted Answer

Here are the solutions to the problems: a) Step 1: Substitute the given values a=2, b=−3, and c=−5 into the expression a × (b+c). 2 × (−3 + (−5)) Step 2: Solve the expression inside the parentheses. −3 + (−5) = −8 Step 3: Multiply the result by a. 2 × −8 = −16 The final answer is −16. b) Step 1: Substitute the given values a=−7, b=2, and c=3 into the expression a × (b+c). −7 × (2 + 3) Step 2: Solve the expression inside the parentheses. 2 + 3 = 5 Step 3: Multiply the result by a. −7 × 5 = −35 The final answer is −35. c) Step 1: Substitute the given values a=1, b=−8, and c=2 into the expression a × (b+c). 1 × (−8 + 2) Step 2: Solve the expression inside the parentheses. −8 + 2 = −6 Step 3: Multiply the result by a. 1 × −6 = −6 The final answer is −6. d) Step 1: Substitute the given values a=3, b=−10, and c=5 into the expression (a × b) + (a × c). (3 × −10) + (3 × 5) Step 2: Perform the multiplications within each parenthesis. 3 × −10 = −30; 3 × 5 = 15 Step 3: Add the two results. −30 + 15 = −15 The final answer is −15. e) Step 1: Substitute the given values m=3, n=2, and p=−11 into the expression m × (n+p). 3 × (2 + (−11)) Step 2: Solve the expression inside the parentheses. 2 + (−11) = 2 − 11 = −9 Step 3: Multiply the result by m. 3 × −9 = −27 The final answer is −27. f) Step 1: Substitute the given values m=7, n=8, and p=−9 into the expression (m × n) + (m × p). (7 × 8) + (7 × −9) Step 2: Perform the multiplications within each parenthesis. 7 × 8 = 56; 7 × −9 = −63 Step 3: Add the two results. 56 + (−63) = 56 − 63 = −7 The final answer is −7.

Evaluate the following expressions, showing your work: a) a(b+c) with a=2, b=-3, c=-5 b) a(b+c) with a=-7, b=2, c=3 c) a(b+c) with a=1, b=-8, c=2 d) (ab)+(ac) with a=3, b=-10, c=5 e) m(n+p) with m=3,

Answers

Step-by-step solution

Part a· 3 steps

Substitute the given values $a=2$ , $b=-3$ , and $c=-5$ into the expression $a \times (b+c)$ .

Solve the expression inside the parentheses.

Multiply the result by $a$ .

Part b· 3 steps-35

Substitute the given values $a=-7$ , $b=2$ , and $c=3$ into the expression $a \times (b+c)$ .

Solve the expression inside the parentheses.

Multiply the result by $a$ .

Part c· 3 steps-6

Substitute the given values $a=1$ , $b=-8$ , and $c=2$ into the expression $a \times (b+c)$ .

Solve the expression inside the parentheses.

Multiply the result by $a$ .

Part d· 3 steps-15

Substitute the given values $a=3$ , $b=-10$ , and $c=5$ into the expression $(a \times b) + (a \times c)$ .

Perform the multiplications within each parenthesis.

Add the two results.

Part e· 3 steps-27

Substitute the given values $m=3$ , $n=2$ , and $p=-11$ into the expression $m \times (n+p)$ .

Solve the expression inside the parentheses.

Multiply the result by $m$ .

Part f· 3 steps-7

Substitute the given values $m=7$ , $n=8$ , and $p=-9$ into the expression $(m \times n) + (m \times p)$ .

Perform the multiplications within each parenthesis.

Add the two results.

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More Mathematics Questions

Evaluate the following expressions, showing your work: a) a(b+c) with a=2, b=-3, c=-5 b) a(b+c) with a=-7, b=2, c=3 c) a(b+c) with a=1, b=-8, c=2 d) (ab)+(ac) with a=3, b=-10, c=5 e) m(n+p) with m=3,

Answers

Step-by-step solution

Part a· 3 steps

Substitute the given values a=2a=2a=2, b=−3b=-3b=−3, and c=−5c=-5c=−5 into the expression a×(b+c)a \times (b+c)a×(b+c).

Solve the expression inside the parentheses.

Multiply the result by aaa.

Part b· 3 steps-35

Substitute the given values a=−7a=-7a=−7, b=2b=2b=2, and c=3c=3c=3 into the expression a×(b+c)a \times (b+c)a×(b+c).

Solve the expression inside the parentheses.

Multiply the result by aaa.

Part c· 3 steps-6

Substitute the given values a=1a=1a=1, b=−8b=-8b=−8, and c=2c=2c=2 into the expression a×(b+c)a \times (b+c)a×(b+c).

Solve the expression inside the parentheses.

Multiply the result by aaa.

Part d· 3 steps-15

Substitute the given values a=3a=3a=3, b=−10b=-10b=−10, and c=5c=5c=5 into the expression (a×b)+(a×c)(a \times b) + (a \times c)(a×b)+(a×c).

Perform the multiplications within each parenthesis.

Add the two results.

Part e· 3 steps-27

Substitute the given values m=3m=3m=3, n=2n=2n=2, and p=−11p=-11p=−11 into the expression m×(n+p)m \times (n+p)m×(n+p).

Solve the expression inside the parentheses.

Multiply the result by mmm.

Part f· 3 steps-7

Substitute the given values m=7m=7m=7, n=8n=8n=8, and p=−9p=-9p=−9 into the expression (m×n)+(m×p)(m \times n) + (m \times p)(m×n)+(m×p).

Perform the multiplications within each parenthesis.

Add the two results.

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More Mathematics Questions

Substitute the given values $a=2$ , $b=-3$ , and $c=-5$ into the expression $a \times (b+c)$ .

Multiply the result by $a$ .

Substitute the given values $a=-7$ , $b=2$ , and $c=3$ into the expression $a \times (b+c)$ .

Multiply the result by $a$ .

Substitute the given values $a=1$ , $b=-8$ , and $c=2$ into the expression $a \times (b+c)$ .

Multiply the result by $a$ .

Substitute the given values $a=3$ , $b=-10$ , and $c=5$ into the expression $(a \times b) + (a \times c)$ .

Substitute the given values $m=3$ , $n=2$ , and $p=-11$ into the expression $m \times (n+p)$ .

Multiply the result by $m$ .

Substitute the given values $m=7$ , $n=8$ , and $p=-9$ into the expression $(m \times n) + (m \times p)$ .