Simplify the following: 1.1.1 −9x(x2 - 3) − 5x(2x2 - 5) 1.1.2 3(2a − 7)2

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Let's check your solutions. QUESTION 1 1.1 Simplify the following 1.1.1 −9x(x² − 3) − 5x(2x² − 5) Your steps are mostly correct, but there was a small sign error in the first line of your distribution. Step 1: Distribute −9x into the first parenthesis and −5x into the second parenthesis. = −9x · x² − 9x · (−3) − 5x · 2x² − 5x · (−5); = −9x³ + 27x − 10x³ + 25x Your intermediate line showed +10x³, but then you correctly used −10x³ in the next step. Step 2: Combine like terms. = (−9x³ − 10x³) + (27x + 25x); = −19x³ + 52x The simplified expression is ✅ Correct: −19x³ + 52x. 1.1.2 3(2a − 7)² Your solution is correct. Step 1: Expand the squared term (2a − 7)². (2a − 7)² = (2a)² − 2(2a)(7) + (7)²; = 4a² − 28a + 49 Step 2: Multiply the result by 3. = 3(4a² − 28a + 49); = 12a² − 84a + 147 The simplified expression is ✅ Correct: 12a² − 84a + 147.

Simplify the following: 1.1.1 -9x(x2 - 3) - 5x(2x2 - 5) 1.1.2 3(2a - 7)2

Step-by-step solution

Distribute $-9x$ into the first parenthesis and $-5x$ into the second parenthesis.

Combine like terms.

Expand the squared term $(2a - 7)^2$ .

Multiply the result by 3.

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