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Factorisation by Common Factors

Factorised fo...

Question

Factorised form of $23 x y - 46 x + 54 y - 108$ is

(23 x + 54) (y - 2)

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(23 x + 54 y) (y - 2)

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(23 x y + 54 y) (- 46 x - 108)

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(23 x + 54) (y + 2)

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Solution

The correct option is A $(23 x + 54) (y - 2)$
We have
$23 x y - 46 x + 54 y - 108$
Factoring out $23$ from the first two terms and $54$ from the last two,
$= 23 x (y - 2) + 54 (y - 2)$
Now, factoring out $(y - 2),$
$= (23 x + 54) (y - 2)$

$∴ 23 x y - 46 x + 54 y - 108 = (23 x + 54) (y - 2)$

Hence, option (A) is correct.

Suggest Corrections

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P

2 P A = 3 P B

A

(0, 0)

B

(4, - 3)

x^{2} y^{2} - 9 y^{2} - 6 x^{2} y + 54 y = 0

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