Question

For the following, write an equivalent expression in standard form: (5x^2+6x-2)+4x(3x-7)

Answer 1

$17x^2-22x-2$

Explanation

$\begin{gathered} \mleft(5x^2+6x-2\mright)+4x\mleft(3x-7\mright) \\ \end{gathered}$

Step 1

eliminate the parenthesis , apply distributive property

$\begin{gathered} \mleft(5x^2+6x-2\mright)+4x\mleft(3x-7\mright) \\ \mleft(5x^2+6x-2\mright)+(4x\cdot3x)+(4x\cdot-7) \\ (5x^2+6x-2)+12x^2-28x \\ 5x^2+6x-2+12x^2-28x \end{gathered}$

Step 2

now, to simplify add similar terms

$\begin{gathered} 5x^2+6x-2+12x^2-28x \\ (5+12)x^2+(6-28)x-2 \\ 17x^2-22x-2 \end{gathered}$

I hope this helps you