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

Answer:

(a) $8 x(5 x-6)=40 x^{2}-48 x$

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

Step-by-step 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.

Answer 2

Answer:

A and C

Step-by-step explanation: