Find the difference of squares: (a−b)(a+b)=(a2−b2)(a - b)(a + b) = (a^2 - b^2)

Find the difference of squares: (a−b)(a+b)=(a2−b2)(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.
Basic Concepts: Multiplying binomial by binomial, Factoring perfect square trinomials: (a+b)2=a2+2ab+b2(a + b)^2 = a^2 + 2ab + b^2 or (a−b)2=a2−2ab+b2(a - b)^2 = a^2 - 2ab + b^2
Related Concepts: Factor by taking out the greatest common factor, Factor by grouping, Factoring difference of squares: x2−y2x^2 - y^2, Factoring trinomials

Lessons

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

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

    c)
    x2−25x^2 - 25

    d)
    16−25x416 - 25x^4

    e)
    16x2y8−416x^2y^8 - 4

    f)
    x2n−25x^{2n} - 25

    g)
    x8−1x^8 - 1

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

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13.
Factoring polynomial Expressions
13.1
Common factors of polynomials
13.2
Factoring polynomials by grouping
13.3
Solving polynomials with the unknown "b" from x2+bx+cx^2 + bx + c
13.4
Solving polynomials with the unknown "c" from x2+bx+cx^2 + bx + c
13.5
Factoring polynomials: x2+bx+cx^2 + bx + c
13.6
Applications of polynomials: x2+bx+cx^2 + bx + c
13.7
Solving polynomials with the unknown "b" from ax2+bx+cax^2 + bx + c
13.8
Factoring polynomials: ax2+bx+cax^2 + bx + c
13.9
Factoring perfect square trinomials: (a+b)2=a2+2ab+b2(a + b)^2 = a^2 + 2ab + b^2 or (a−b)2=a2−2ab+b2(a - b)^2 = a^2 - 2ab + b^2
13.10
Find the difference of squares: (a - b)(a + b) = a2−b2a^2 - b^2
13.11
Evaluating polynomials
13.12
Using algebra tiles to factor polynomials
13.13
Solving polynomial equations
13.14
Word problems of polynomials
Basic Algebra
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