Exercise 22 Page 510

We want to simplify the given expression. Recall that the square of a binomial with subtraction is the square of the first term minus twice the product of the terms plus the square of the last term. ( a- b)^2= a^2- 2 a b+ b^2 Let's use the above formula to simplify our expression!

( 2m- 7)^2

ExpandNegPerfectSquare

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

( 2m)^2- 2( 2m)( 7)+ 7^2

PowProd

(a * b)^m=a^m* b^m

2^2m^2-2(2m)(7)+7^2

CalcPow

Calculate power

4m^2-2(2m)(7)+49

Multiply

Multiply

4m^2-28m+49