Factoring Difference of Squares and Perfect Square Trinomials

The Difference of Squares is a factoring technique used for expressions in the form of $$a^2 - b^2$$ , which can be factored as $$(a + b)(a - b)$$ .

A Perfect Square Trinomial is an expression that can be factored into the square of a binomial, in the form of $$a^2 + 2ab + b^2$$ = $$(a + b)^2$$ or $$a^2 - 2ab + b^2$$ = $$(a - b)^2$$ .

$$(x + 4)(x - 4)$$ .

$$(5x - 7)^2$$ .

$$(r + 3t)(r - 3t)$$ .

$$(x + 3)(x - 3)$$ .

$$5(3x + 2)(3x - 2)$$ .

The formula is $$a^2 - b^2 = (a + b)(a - b)$$ .

The formulas are: $$a^2 + 2ab + b^2 = (a + b)^2$$ and $$a^2 - 2ab + b^2 = (a - b)^2$$ .

The terms are: a = x, b = 5, since $$25 = 5^2$$ .