Question

use the box method to distribute and simplify (-3x^2 + 5x)(-x + 3). drag and drop the terms to the correct locations of the table. (-3x^2 + 5x)(-x + 3) -x 3 -3x^2 5x

Explanation:

Step1: Multiply -3x² by -x

$(-3x^{2})\times(-x)=3x^{3}$

Step2: Multiply -3x² by 3

$(-3x^{2})\times3=-9x^{2}$

Step3: Multiply 5x by -x

$5x\times(-x)= - 5x^{2}$

Step4: Multiply 5x by 3

$5x\times3 = 15x$

Step5: Combine like - terms

$3x^{3}+(-9x^{2}-5x^{2})+15x=3x^{3}-14x^{2}+15x$

Answer:

The terms for the table (from top - left, top - right, bottom - left, bottom - right) are $3x^{3},-9x^{2},-5x^{2},15x$ and the simplified form is $3x^{3}-14x^{2}+15x$