Factor the expression

36s^2-25

(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)