Math, asked by tt821057, 15 days ago

Factorise

Please answer fast​

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Answers

Answered by bansalrashika8
1

i have given step by step explanation in the attachment

hope it helps

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Answered by BeautifullMind
25

Answer:

\bold\red{SOLUTION:-}

\begin{array}{r r r} \end{array} \\ \\ ➤ (x + y) ^{3}  - (x^{3}  + y ^{3} ) \\  \: \\  using \:  \: identity \:  = (x^{3}  + y^{3} ) = (x + y)(x {}^{2}  - xy + y {}^{2} ) \\  \\➤(x + y) {}^{3}  - (x + y)(x {}^{2}  - xy + y ^{2} ) \\  \\ ➤(x + y)  \times  \big[(x + y) {}^{2}  - (x {}^{2}  - xy  + y ^{2} ) \big] \\  \\ ➤(x + y) \times (x {}^{2}  + 2xy + y {}^{2}  -  x{}^{2}  + xy - y {}^{2} ) \\  \\ ➤(x  + y) \times (2xy + xy) \\  \\ ➤(x + y)3xy \\  \\ ⇢ \fbox{3xy(x + y)}

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