Factorise - displaystyle 36x-4-84x-2-y-2-49y-4-displaystyle -6x-2-7y-2-6x-2-7y-2-displaystyle -x-2-y-2-x-2-y-2-None of thesedisplaystyle -9x-2-2y-2-12x-2-7y-2-

Question

Toppr Admin · Accepted Answer

36x4-x2212-84x2y2-49y4-6x2-2-x2212-2-xD7-6x2-xD7-7y2-7y2-2-6x2-x2212-7y2-2-6x2-x2212-7y2-6x2-x2212-7y2-

Factorise : $36 x^{4} - 84 x^{2} y^{2} + 49 y^{4}$
$(6 x^{2} - 7 y^{2}) (6 x^{2} - 7 y^{2})$
$(x^{2} - y^{2}) (x^{2} - y^{2})$
None of these
$(9 x^{2} - 2 y^{2}) (12 x^{2} - 7 y^{2})$

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

Factorise : 36x4−84x2y2+49y4(6x2−7y2)(6x2−7y2)(x2−y2)(x2−y2)None of these(9x2−2y2)(12x2−7y2)

36x4−84x2y2+49y4=(6x2)2−2×6x2×7y2+(7y2)2=(6x2−7y2)2=(6x2−7y2)(6x2−7y2)

Factorise : $36 x^{4} - 84 x^{2} y^{2} + 49 y^{4}$
$(6 x^{2} - 7 y^{2}) (6 x^{2} - 7 y^{2})$
$(x^{2} - y^{2}) (x^{2} - y^{2})$
None of these
$(9 x^{2} - 2 y^{2}) (12 x^{2} - 7 y^{2})$

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