Question

Factorise (x-y)²a²+2(x-y)(x+y)ab+(x+y)²b²

Answer 1

$\mathfrak{\purple{\huge{Here \:is\:u\:r\:Ans\:Mate}}}$

$\mathcal{\red{\huge{\star\: Factorise \: \star}}}$
⤵️⤵️⤵️

$(x - y) {}^{2} a {}^{2} (x - y)(x + y)ab + (x + y) {}^{2} b {}^{2}$

❄Using this Formula➡️

$a {}^{2} - b {}^{2} = (a - b)(a + b)$



$(7(2x + y) - 8(x - 3y)) \times (14x + 7y + 8x - 24y)$

❄Collect the Like terms


$(14x + 7y - 8x + 24y) \times (14x + 7y + 8x - 24y)$

$(6x + 31y) \times (22x - 17y)$


$\mathcal{\orange{\huge{\star\: Madhura20 \: \star}}}$