Find the difference of squares: (ab)(a+b)=(a2b2)(a - b)(a + b) = (a^2 - b^2)

Find the difference of squares: (ab)(a+b)=(a2b2)(a - b)(a + b) = (a^2 - b^2)

The word "difference" in the difference of squares essentially means "subtract". However, solving this type of question is not subtracting the squared terms. It involves factoring and multiplying conjugates, which you will learn it all in this lesson.

Lessons

  • 1.
    Find the difference of squares
    a)
    (3x+4y)(3x4y)(3x + 4y)(3x - 4y)

    b)
    (x23y2)(x2+3y2)(-x^2-3y^2)(-x^2+3y^2)

    c)
    x225x^2 - 25

    d)
    1625x416 - 25x^4

    e)
    16x2y8416x^2y^8 - 4

    f)
    x2n25x^{2n} - 25

    g)
    x81x^8 - 1

    h)
    (x2+6x+9)4y2(x^2 + 6x + 9) - 4y^2