Question

Factors of 36 – 9x2

will be​

Answer 1

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2".

STEP

1

:

Equation at the end of step 1

36 - 32x2

STEP

2

:

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

36 - 9x2 = -9 • (x2 - 4)

Trying to factor as a Difference of Squares:

3.2 Factoring: x2 - 4

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 : 4 is the square of 2

Check : x2 is the square of x1

Factorization is : (x + 2) • (x - 2)

Final result :

-9 • (x + 2) • (x - 2)