Factorise $4 x^{2} - 81 y^{2}$ by using formula:

(2 x + 9 y) (2 x - y)

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(x + 9 y) (2 x - 9 y)

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(2 x + y) (2 x - 9 y)

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(2 x + 9 y) (2 x - 9 y)

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Solution

The correct option is C $(2 x + 9 y) (2 x - 9 y)$
$F a c t o r i z i n g {4 x^{2} - 81 y}^{2}, = (2 x - 9 y) (2 x + 9 y)$
using the identity $(a^{2} - b^{2}) = (a + b) (a - b)$

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∣ ∣ ∣ ∣ \begin{matrix} x & x + y & x + 2 y x + 2 y & x & x + y x + y & x + 2 y & x \end{matrix} ∣ ∣ ∣ ∣ = 9 y^{2} (x + y)

∣ ∣ ∣ ∣ \begin{matrix} x & x + y & x + 2 y x + 2 y & x & x + y x + y & x + 2 y & x \end{matrix} ∣ ∣ ∣ ∣ = 9 y^{2} (x + y) .

P S

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Q (6, - 1)

R (7, 3) .

(1, - 1)

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49 {(2 x + 3 y)}^{2} - 70 ({4 x}^{2} {- 9 y}^{2}) + 25 {(2 x - 3 y)}^{2}

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