Replace * with a monomial so that the derived expression may be represented as a square of a binomial

Question

*+14b+49

*+14b+49

Answer 1

b^2 + 14b + 49 = (b + 7)^2

 

There is the formula for the square of a binomial:

(a+b)^2 = a^2 + 2ab + b^2

Answer 2

Hi again.

 

Just like the last one, only this time need

 

"b²", then you will have the perfect

 

square of (b+7)

 

Can check:  (b+7)²=(b+7)(b+7)

 

FOIL this and get

 

b²+7b+7b+49

 

or b²+14b+49 = (b+7)²