Factoring using Difference of Two Squares: Practice Problems

Direction: Factor out each binomial completely. Work it out on paper first then scroll down to compare your solution.

Problem 1: {x^2} - 100

Problem 2: 25{x^2} - 1

Problem 3: 4{x^2} - 9{y^2}

Problem 4: 16{x^4} - {y^4}

Problem 5: {\left( {2x - 1} \right)^2} - 49

Problem 6: 4{x^2}{y^4} - 36{x^4}{y^2}

scroll down to show the solutions to the problems

ANSWER KEY

SOLUTION TO PROBLEM #1

x^2-100=(x+10)(x-10)

SOLUTION TO PROBLEM #2

25x^2-1=(5x+1)(5x-1)

SOLUTION TO PROBLEM #3

4x^2-9y^2=(2x+3y)(2x-3y)

SOLUTION TO PROBLEM #4

16x^4-y^4=(4x^2+y^2)(2x+y)(2x-y)

SOLUTION TO PROBLEM #5

(2x-1)^2-49=4(x+3)(x-4)

SOLUTION TO PROBLEM #6

4x^2y^4-36y^2=4x^2y^2(y+3x)(y-3x)

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