Question

simplify each expression. write terms in descending order. how is this expression different than distributing 1 to remove the parenthesis? type your answer here

Explanation:

Step1: Expand the first - part of the expression

\[

$$\begin{align*} 7x(-3x + 5)&=7x\times(-3x)+7x\times5\\ &=- 21x^{2}+35x \end{align*}$$

\]

Step2: Expand the second - part of the expression

\[

$$\begin{align*} (3x^{2}+4x - 8)&=3x^{2}+4x - 8 \end{align*}$$

\]

Step3: Expand \(-(2x - 3)-2x\)

\[

$$\begin{align*} -(2x - 3)-2x&=-2x + 3-2x\\ &=-4x + 3 \end{align*}$$

\]

Step4: Combine like - terms

\[

$$\begin{align*} &-21x^{2}+35x+3x^{2}+4x - 8-4x + 3\\ &=(-21x^{2}+3x^{2})+(35x+4x-4x)+(-8 + 3)\\ &=-18x^{2}+35x-5 \end{align*}$$

\]

Answer:

\(-18x^{2}+35x - 5\)