Question

Write as an expression and simplify:

the product of the sum of a and b and their difference.

the tripled product of 6a and b^2.

the difference of the squares of 2m and 7n.

Answer 1

(a) The product of the sum of a and b and their difference.

`(a+b)*{(a-b)}\\=a^2-b^2`

(b) The tripled product of 6a and b².

`3(6a*{b^2})\\=3(6ab^2)\\=18ab^2`

(c) The difference of the squares of 2m and 7n.

`(2m)^2-(7n)^2\\=4m^2-49n^2`