sharina simplified the expression 3(2x - 6 - x + 1)^2 - 2 + 4x. in step 1 she simplified within the…

sharina simplified the expression 3(2x - 6 - x + 1)^2 - 2 + 4x. in step 1 she simplified within the parentheses. in step 2 she expanded the exponent. which is a possible next step? simplify the expression by adding and subtracting from left to right. combine like terms within the parentheses. combine all x - terms. distribute the 3 to each term in the parentheses by multiplying. sharinas work 3(2x - 6 - x + 1)^2 - 2 + 4x 1 3(x - 5)^2 - 2 + 4x 2 3(x^2 - 10x + 25) - 2 + 4x 3 4
Answer
Explanation:
Step1: Analyze current step
We have $3(x^{2}-10x + 25)-2 + 4x$. The next logical step is to distribute the 3.
Step2: Recall distribution rule
We use the distributive property $a(b + c+d)=ab+ac + ad$. Here $a = 3$, $b=x^{2}$, $c=-10x$, $d = 25$. $3(x^{2}-10x + 25)-2 + 4x=3x^{2}-30x+75 - 2+4x$
Answer:
Distribute the 3 to each term in the parentheses by multiplying.