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

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`

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`