Question

URGENT! 40 POINTS! PLEASE HELP!

Select ALL the statements that are true. MORE THAN 1 STATEMENT
Question 4 options:
a) The product of 8x(5x−6) is 40x^2−48x
b) The product of −4x(2x^2+1) is −8x^3−5x
c) The product of (x−3)(5x−6) is 5x^2−21x+18
d) The product of (2x+3)(x^2+3x−5) is 2x^3+9x^2+9x−25

Answer 1

A and C

Explanation:

Answer 2

(a)
`8 x(5 x-6)=40 x^(2)-48 x`

(c)
`\begin{aligned}(x-3)(5 x-6) &=5 x^(2)-21 x+18\end{aligned}`

Explanation:

(a) To find verify the answer we need to multiplying the equation
`8 x(5 x-6)`

`8 x(5 x-6)=40 x^(2)-48 x`

Thus, this statement is true.

(b) To find verify the answer we need to multiplying the equation
`-4 x\left(2 x^(2)+1\right)`

`-4 x\left(2 x^(2)+1\right)=-8 x^(3)-4 x`

Hence, the given statement is false.

(c) To find verify the answer we need to multiplying the equation
`(x-3)(5 x-6)`

`\begin{aligned}(x-3)(5 x-6) &=5 x^(2)-6 x-15 x+18 \\&=5 x^(2)-21 x+18\end{aligned}`

Hence, the given statement is true.

(d) To find verify the answer we need to multiplying the equation
`(2 x+3)\left(x^(2)+3 x-5\right)`

`\begin{aligned}=(2 x+3)\left(x^(2)+3 x-5\right) &=2 x^(3)+6 x^(2)-10 x+3 x^(2)+9 x-15 \\&=2 x^(3)+9 x^(2)-x-15\end{aligned}`

Hence, the given statement is false.