Factoring out a GCF and Difference of Squares

The greatest common factor, or GCF, of an algebraic expression, is the greatest monomial that can divide evenly into allterms of the expression. For example, the GCF of 30x ^{2}y + 20y is 10y.What is the GCF of this binomial? 2x ^{2} - 12Hint: Sometimes the GCF will have a coefficient AND a variable! What is the GCF of this binomial? 4x ^{2} - 16xWhat is the GCF of this trinomial? 15x ^{2}y - 5xy - 10yWhat is the GCF of this trinomial? 8x ^{2} - 4x - 20What is the GCF of this trinomial? 15x ^{3} - 9x^{2} - 3xWhat goes outside the parenthesis when factoring 15x – 25? 15x - 25 = GCF (3x - 5 ) Factor 2x ^{2} + 36x by factoring out the GCF.2x ^{2} + 36x =( x + 18 ) Factoring the Difference of Perfect Squaresa is a special product binomial. ^{2} – b^{2}It can be classified as the "difference of perfect squares" a factors into: (a – b)(a + b)^{2} – b^{2}4x ^{2} - 9 = ( - 3 ) ( 2x + 3 )Fill in the missing term. x ^{2} - 16 = ( x - 4 ) ( x + )Fill in the missing term. x ^{2} - 121 = ( x - ) ( x + )Fill in the missing term. 9x ^{2} - 25 = ( - ) ( + )Fill in the missing terms. x ^{2}y^{2} - 100 = ( - 10 ) ( + )Fill in the missing terms. Factor the expression. 49x ^{2} - 25y^{2}(7x – 5y)(7x – 5y) (7x – 5)(7x + 5) (7x – 5y)(7x + 5y) can not be factored Factor the expression. x ^{2} + 9y^{2}(x + 3y)(x – 3y) (x – 3y)(x + 3y) (x – 3y)(x – 3y) can not be factored Please hit OK to see your score! If your score is less than 80%, you will be invited to try again. Factoring the Difference of Perfect Squaresa is a special product binomial. ^{2} – b^{2}It can be classified as the "difference of perfect squares" a factors into: (a – b)(a + b)^{2} – b^{2} |

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