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: [latex]{x^2} – 100[/latex]

Problem 2: [latex]25{x^2} – 1[/latex]

Problem 3: [latex]4{x^2} – 9{y^2}[/latex]

Problem 4: [latex]16{x^4} – {y^4}[/latex]

Problem 5: [latex]{\left( {2x – 1} \right)^2} – 49[/latex]

Problem 6: [latex]4{x^2}{y^4} – 36{x^4}{y^2}[/latex]

ANSWER KEY

SOLUTION TO PROBLEM #1

SOLUTION TO PROBLEM #2

SOLUTION TO PROBLEM #3

SOLUTION TO PROBLEM #4

SOLUTION TO PROBLEM #5

SOLUTION TO PROBLEM #6

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Factoring Difference of Two Squares Exercises