Use the method you discovered in 4.3 to simplify: 4.2.1 (x+9)(x+3)+(x+8)(x+1)

Mathematics
Use the method you discovered in 4.3 to simplify: 4.2.1 (x+9)(x+3)+(x+8)(x+1)

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Answer

\text{*2x^2 + 21x + 35*}

here's the solution for the next problem:

4.2.1 (x+9)(x+3)+(x+8)(x+1)(x+9)(x+3)+(x+8)(x+1)

Step 1: Find the product of (x+9)(x+3)(x+9)(x+3). Multiply the terms using the FOIL method (First, Outer, Inner, Last). (x+9)(x+3)=x(x)+x(3)+9(x)+9(3)(x+9)(x+3) = x(x) + x(3) + 9(x) + 9(3) =x2+3x+9x+27= x^2 + 3x + 9x + 27 =x2+12x+27(Answer1)= x^2 + 12x + 27 \quad (Answer 1)

Step 2: Find the product of (x+8)(x+1)(x+8)(x+1). Multiply the terms using the FOIL method. (x+8)(x+1)=x(x)+x(1)+8(x)+8(1)(x+8)(x+1) = x(x) + x(1) + 8(x) + 8(1) =x2+x+8x+8= x^2 + x + 8x + 8 =x2+9x+8(Answer2)= x^2 + 9x + 8 \quad (Answer 2)

Step 3: Combine the two answers, Answer 1 + Answer 2, and simplify. Add the results from Step 1 and Step 2. (x2+12x+27)+(x2+9x+8)(x^2 + 12x + 27) + (x^2 + 9x + 8) Combine like terms (x2x^2 terms, xx terms, and constant terms). (x2+x2)+(12x+9x)+(27+8)(x^2 + x^2) + (12x + 9x) + (27 + 8) =2x2+21x+35= 2x^2 + 21x + 35 ∗2x2+21x+35∗\boxed{*2x^2 + 21x + 35*}

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here's the solution for the next problem: 4.2.1 (x+9)(x+3)+(x+8)(x+1) Step 1: Find the product of (x+9)(x+3).

Use the method you discovered in 4.3 to simplify: 4.2.1 (x+9)(x+3)+(x+8)(x+1)
Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
here's the solution for the next problem: 4.2.1 (x+9)(x+3)+(x+8)(x+1) Step 1: Find the product of (x+9)(x+3). Multiply the terms using the FOIL method (First, Outer, Inner, Last). (x+9)(x+3) = x(x) + x(3) + 9(x) + 9(3) = x^2 + 3x + 9x + 27 = x^2 + 12x + 27 (Answer 1) Step 2: Find the product of (x+8)(x+1). Multiply the terms using the FOIL method. (x+8)(x+1) = x(x) + x(1) + 8(x) + 8(1) = x^2 + x + 8x + 8 = x^2 + 9x + 8 (Answer 2) Step 3: Combine the two answers, Answer 1 + Answer 2, and simplify. Add the results from Step 1 and Step 2. (x^2 + 12x + 27) + (x^2 + 9x + 8) Combine like terms (x^2 terms, x terms, and constant terms). (x^2 + x^2) + (12x + 9x) + (27 + 8) = 2x^2 + 21x + 35 2x^2 + 21x + 35 One more to go for today! Send it over.