Question

Which of the following statements is true?

Answer 1

Answer:

Option The product of $(-x+4)(x^2+3x-3)$ is

$-x^3+x^2+15x-12$ is correct.

That is $(-x+4)(x^2+3x-3)=-x^3+x^2+15x-12$

Step-by-step explanation:

Given expression is $(-x+4)(x^2+3x-3)$

To find the product of the given expression :

$(-x+4)(x^2+3x-3)$

( By using the distributive property each term in the factor is multiplied by each term in the another factor )

$=[-x(x^2)+(-x)(3x)+(-x)(-3)]+[4(x^2)+4(3x)+4(-3)]$

$=-x^3-3x^2+3x+4x^2+12x-12$ ( adding the like terms )

$=-x^3+x^2+15x-12$

Therefore $(-x+4)(x^2+3x-3)=-x^3+x^2+15x-12$

Therefore Option The product of

$(-x+4)(x^2+3x-3)$ is $-x^3+x^2+15x-12$ is correct.

That is $(-x+4)(x^2+3x-3)=-x^3+x^2+15x-12$