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Factorize: (2x+3y)^2-5(2x+3y)-14...

Factorize: `(2x+3y)^2-5(2x+3y)-14`

Text Solution

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Let `2x + 3y = a`
then `(2x + 3y)^2 – 5(2x + 3y) – 14`
`= a^2 – 5a – 14`
`= a^2 – 7a + 2a – 14`
`= a(a – 7) + 2(a – 7)`
`= (a – 7) (a + 2)`
`= (2x + 3y – 7) (2x + 3y + 2)`
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