Question

Consider the two expressions 4b(b+1) and (2b+7)(2b-8). Compare their values if b=-3, b=-2, and if b=10. Is it true that for an value of b the value of the first expression is greater than the value of the second expresiion? PLZ Help quick.

Answer 1

Answer:

FIRST EXPRESSION:

-  If $b=-3$, the value of $4b(b+1)$ is  $24$

-  If $b=-2$, the value of $4b(b+1)$ is  $8$

- If $b=10$, the value of $4b(b+1)$ is  $440$

 SECOND EXPRESSION:

-  If $b=-3$, the value of $(2b+7)(2b-8))$ is  $-14$

-  If $b=-2$, the value of $(2b+7)(2b-8))$ is  $-36$

- If $b=10$, the value of $(2b+7)(2b-8))$ is  $324$

Yes, for any value of "b" the value of the first expression is greater than the value of the second expression.

Step-by-step explanation:

Substitute the given values of "b" into each expression and evaluate.

- For the first expression $4b(b+1)$, you get:

If $b=-3$ → $4(-3)(-3+1)=24$

If $b=-2$ → $4(-2)(-2+1)=8$

 If $b=10$ → $4(10)(10+1)=440$

 - For the second expression $(2b+7)(2b-8))$, you get:

If $b=-3$ → $(2(-3)+7)(2(-3)-8)=-14$

If $b=-2$ → $(2(-2)+7)(2(-2)-8)=-36$

 If $b=10$ → $(2(10)+7)(2(10)-8)=324$

You can observe that for any value of "b" the value of the first expression is greater than the value of the second expression.