Question

Which of the following statements is true?

Question 5 options:

The product of −2(−8x−3) is −16x+6.

The product of x2(−4x2+5x) is −4x4−5x3.

The product of (9x+1)(−4x+3) is −36x2+27x+3.

The product of (−x+4)(x2+3x−3) is −x3+x2+15x−12.

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