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 expression

Answer 1

Answer:

If b=-3 then the first expression is equal to 24 and the second expression is equal to -14.

If b=-2 then the first expression is equal to 8 and the second expression is equal to -36.

If b=10 then the first expression is equal to 440 and the second expression is equal to 324.

Yes, it is true.

Step-by-step explanation:

b=-3:

4b(b+1)=4(-3)(-3+1)=-12(-2)=24

(2b+7)(2b-8)=(2(-3)+7)(2(-3)-8)=(-6+7)(-6-8)=1(-14)=-14

b=-2:

4b(b+1)=4(-2)(-2+1)=-8(-1)=8

(2b+7)(2b-8)=(2(-2)+7)(2(-2)-8)=(-4+7)(-4-8)=3(-12)=-36

b=10:

4b(b+1)=4(10)(10+1)=40(11)=440

(2b+7)(2b-8)=(2(10)+7)(2(10)-8)=(20+7)(20-8)=27(12)=324