4x^2-12 and 4(x^2-3) and x^2-11 and (-x)^2-11

Question

symbolically show the following pairs of expressions are equivalent.

a.) 4x^2-12 and 4(x^2-3)

b.) x^2-11 and (-x)^2-11

Answer 1

4(x^2 -3)

= 4x^2 - 4(3)

= 4x^2 -12

(-x)^2 - 11

= (-1)^2(x^2) -11

= 1(x^2) -11

= x^2 -11