Factorise : $36 x^{4} - 84 x^{2} y^{2} + 49 y^{4}$

(6 x^{2} - 7 y^{2}) (6 x^{2} - 7 y^{2})

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(x^{2} - y^{2}) (x^{2} - y^{2})

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(9 x^{2} - 2 y^{2}) (12 x^{2} - 7 y^{2})

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None of these

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Solution

The correct option is A $(6 x^{2} - 7 y^{2}) (6 x^{2} - 7 y^{2})$
$36 x^{4} - 84 x^{2} y^{2} + 49 y^{4} = (6 x^{2})^{2} - 2 \times 6 x^{2} \times 7 y^{2} + (7 y^{2})^{2}$
$= (6 x^{2} - 7 y^{2})^{2} = (6 x^{2} - 7 y^{2}) (6 x^{2} - 7 y^{2})$

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Similar questions

$\frac{16 x^{4}}{49 y^{2}} + \frac{49 y^{4}}{16 x^{2}} + 2 x y = (\frac{4 x^{2}}{7 y} + \frac{7 y^{2}}{4 x})^{2}$

7 y^{2} + 35 z^{2}

7 y^{2} + 49 y + 84

Factorise:

$7 y^{2} - 19 y - 6$

2 x^{2} - 8 x y + 7 y^{2} - 8 x y^{2}, 2 y^{2}, 6 x y^{2} - y^{2} + 3 x^{2}, 4 y^{2} - x y - x^{2} + x y^{2}

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