Factoring difference of squares: x2y2x^2 - y^2

Factoring difference of squares: x2y2x^2 - y^2

Lessons

  • Introduction
    What is a “difference of squares”?

  • 1.
    Factor:
    a)
    x249{x^2} - 49

    b)
    4x2+254{x^2} + 25

    c)
    169x216 - 9{x^2}


  • 2.
    Factor:
    a)
    100x249y2100{x^2} - 49{y^2}

    b)
    32x2242y232{x^2} - 242{y^2}

    c)
    2a3b8ab32{a^3}b - 8a{b^3}

    d)
    25a2b24c225{a^2}{b^2} - 4{c^2}


  • 3.
    Factor:
    a)
    (xy)2(z)2{\left( {x - y} \right)^2} - {\left( z \right)^2}

    b)
    (5a+6b)2(9ab)2{\left( {5a + 6b} \right)^2} - {\left( {9a - b} \right)^2}

    c)
    169(x3)225(x+6)2169{\left( {x - 3} \right)^2} - 25{\left( {x + 6} \right)^2}


  • 4.
    Factoring “difference of squares” more than once

    Factor:
    a)
    x416{x^4} - 16

    b)
    162a42b4162{a^4} - 2{b^4}

    c)
    5a7b880a3c45{a^7}{b^8} - 80{a^3}{c^4}