Exercise 9 Page 381

Practice makes perfect

We want to simplify the given expression. 5x^2+35x To use the Distributive Property in reverse, we have to find the greatest common factor (GCF) between the terms.

5x&= 5* x 35x&= 5* 7* x In this case, the GCF is 5* x= 5x. Let's rewrite our expression. 5x^2+35x= 5x(x+7)

We want to simplify the given expression. To do it, we will use the Distributive Property. We will distribute 8x to the terms inside the parentheses.

8x(7-2x)

Distr

Distribute 8x

8x(7)+8x(- 2x)

CommutativePropMult

Commutative Property of Multiplication

8(7)x+8(- 2)x* x

MultNegNegOnePar

- a(- b)=a* b

8(7)x-8(2)x* x

Multiply

56x-16x* x

MultBasePow

a*a^m=a^(1+m)

56x-16x^2

Since 56x and 16x^2 are not like terms, the expression cannot be simplified further.

We want to simplify the given expression. 9x-3x^2 To use the Distributive Property in reverse, we have to find the greatest common factor (GCF) between the terms.

9x&= 3* 3* x 3x^2&= 3* x* x In this case, the GCF is 3* x= 3x. Let's rewrite our expression. 9x-3x^2= 3x(3-x)

We want to simplify the given expression. To do it, we will use the Distributive Property. We will distribute 4 to the terms inside the parentheses.

4(x-7)

Distr

Distribute 4

4x+4(- 7)

MultPosNeg

a(- b)=- a * b

4x-4(7)

Multiply

4x-28

Since 4x and 28 are not like terms, the expression cannot be simplified further.