Question

Factorise 9x²-36y^2​

Answer 1

9( x² - 4y²)

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Answer 2

Answer:

answer is down

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

(9 • (x2)) - (22•32y2)

STEP

2

:

Equation at the end of step

2

:

32x2 - (22•32y2)

STEP

3

:

STEP

4

:

Pulling out like terms

4.1 Pull out like factors :

9x2 - 36y2 = 9 • (x2 - 4y2)

Trying to factor as a Difference of Squares:

4.2 Factoring: x2 - 4y2

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

Check : y2 is the square of y1

Factorization is : (x + 2y) • (x - 2y)

answer is down

9 • (x + 2y) • (x - 2y)