Question

Factarise
( 2x +3y)^2-(2x+3y)-6
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Answer 1

Answer:

(2x+3y-3)(2x+3y+2)

Step-by-step explanation:

suppose, 2x+3y = p

=p²-p-6

=p²-(3-2)p-6

=p²-3p+2p-6

=p(p-3)+2(p-3)

=(p-3)(p+2)

=(2x+3y-3)(2x+3y+2)

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Answer 2

Answer:

(2x + 3y)² - (2x + 3y) - 6

Let (2x + 3y) = a

a² - a - 6

= a² - 3a + 2a - 6

= a (a - 3) + 2 (a - 3)

= (a - 3) (a + 2)

Substituting the value of a,

= (2x + 3y - 3) (2x + 3y + 2)

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