How do i solve the following by factorization:

Question

1) 7.7^2-2.3^2
2) 43*56+43*44

I know how to do these manually but not by factorization.

Answer 1

these questions have been 'fudged' so that they can be done mentally by using basic factoring techniques.

for the first
7.7^2-2.3^2 , I see the difference of squares
= (7.7 + 2.3)(7.7-2.3)
= 10 (5.4)
= 54

the last one uses 'common factoring'
43*56 + 43*44
= 43(56+44)
= 43*100
= 4300

Answer 2

thanks for helping.