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5 June, 16:24

Factor the expression

36s^2-25

+5
Answers (1)
  1. 5 June, 19:16
    0
    (6x + 5) • (6x - 5)

    Step-by-step explanation:

    36x2-25

    Step by step solution:

    Step 1:

    Equation at the end of step 1:

    (22•32x2) - 25

    Step 2:

    Trying to factor as a Difference of Squares:

    2.1 Factoring: 36x2-25

    Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

    Proof : (A+B) • (A-B) =

    A2 - AB + BA - B2 =

    A2 - AB + AB - B2 =

    A2 - B2

    Note : AB = BA is the commutative property of multiplication.

    Note : - AB + AB equals zero and is therefore eliminated from the expression.

    Check : 36 is the square of 6

    Check : 25 is the square of 5

    Check : x2 is the square of x1

    Factorization is : (6x + 5) • (6x - 5)

    Final result:

    (6x + 5) • (6x - 5)
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