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Factoring the Difference of Perfect Squares a2 – b2 is a special product binomial. It can be classified as the "difference of perfect squares" a2 – b2 factors into: (a – b)(a + b) Factor the expression. 49x2 - 25y2 (7x – 5y)(7x – 5y) (7x – 5)(7x + 5) (7x – 5y)(7x + 5y) can not be factored 4x2 - 9 = ( - 3 ) ( 2x + 3 ) Factor the binomial. Fill in the missing term.x2 - 16 = ( x - 4 ) ( x + ) Factor the binomial. Fill in the missing term. x2 - 121 = ( x - ) ( x + 11 ) Factor the binomial. Fill in the missing term.9x2 - 4 = ( 3x 2 ) ( 3x + 2 ) Enter the correct sign. 9x2 - 25 = ( - ) ( + ) Factor the binomial. Fill in the missing terms.x2y2 - 100 = ( - ) ( + ) Factor the binomial. Fill in the missing terms.a2 - 2ab + b2 is a special product. It can be classified as a "perfect square trinomial." a2 - 2ab + b2 factors into: (a – b)2 Factoring Perfect Square Trinomials Factor the expression. a2 + 10x + 25 (a – 5)(a – 5) (a + 5)(a + 5) (a – 5)(a + 5) can not be factored Factor the expression. 49x2 - 14x + 1 (7x – 1)(7x – 1) (7x – 1)(7x + 1) (7x – 1)(7x + 1) can not be factored Factor the expression. x2 + 9y2 (x + 3y)(x – 3y) (x – 3y)(x + 3y) (x – 3y)(x – 3y) can not be factored 16x2 - 8x + 1 = ( - )2 Factor the trinomial.Fill in the missing terms. a2 + 10ab + 25b2 = ( + )2 Factor the trinomial.Fill in the missing terms. 9x2 - 6xy + y2 = ( )2 Factor the trinomial.Fill in the missing terms. |