Question

(ii)Factorise: (2 x-5y)^2-3(x-5y)

Answer 1

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

(2x - (5y2))3

STEP

2

:

Trying to factor as a Difference of Squares:

2.1 Factoring: 2x-5y2

Put the exponent aside, try to factor 2x-5y2

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 : 2 is not a square !!

Ruling : Binomial can not be factored as the

difference of two perfect squares

Final result :

(2x - 5y2)3

PLZ MARK AS BRAINLIST