Select all the statements that are true.

question 4 options:

the product of 8x(5x−6) is 40x^2−48x

the product of −4x(2x2+1) is −8x^3−5x

the product of (x−3)(5x−6) is 5x^2−21x+18

the product of (2x+3)(x^2+3x−5) is 2x^3+9x^2+9x−25

The product of 8x(5x−6) is 40x^2−48x

The product of (x−3)(5x−6) is 5x^2−21x+18

Step-by-step explanation:

Verify each option

Part 1) The product of 8x(5x−6) is 40x^2−48x

we have

Applying distributive property

Compare with the given value

therefore

The statement is true

Part 2) The product of −4x(2x2+1) is −8x^3−5x

we have

Applying distributive property

Compare with the given value

therefore

The statement is not true

Part 3) The product of (x−3)(5x−6) is 5x^2−21x+18

we have

Applying distributive property

Compare with the given value

therefore

The statement is true

Part 4) The product of (2x+3)(x^2+3x−5) is 2x^3+9x^2+9x−25

we have

Applying distributive property

Compare with the given value

therefore

The statement is not true