Question

Factorise:112x^2 – 63y^2

Answer 1

Answer:

(3x + 4) . (3x-4

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

(32•7x2) - 112

STEP

2

:

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

63x2 - 112 = 7 • (9x2 - 16)

Trying to factor as a Difference of Squares:

3.2 Factoring: 9x2 - 16

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 : 9 is the square of 3

Check : 16 is the square of 4

Check : x2 is the square of x1

Factorization is : (3x + 4) • (3x - 4)

Answer 2

Answer:

7(4x+3y) (4x-3y)

Step-by-step explanation:

I hope it would give u not so much but a little help

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