Math, asked by harshit251119, 6 months ago

expand the following expression. (2x+5y)^3

Answers

Answered by manjusharma0181
0

Answer:

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Answered by laganthakur
1

Answer:

(2x + 5y) {}^{3}  = (2x + 5y)(2x + 5y)(2x + 5y) \\ so \: (2x + 5y) {}^{2}  + (2x + 5y) \\ therefore \: using \: identity \: (a + b) {}^{2}  = a {}^{2}  + 2ab + b {}^{2}  \\ so \: here \: a = 2x \\ b = 5y \\ so \: putting \: formula \:  = (2x) {}^{2}  + 2 \times 2x \times 5y + (5y) {}^{2}  + (2x + 5y) \\  = 4x {}^{2}  + 20xy + 25y {}^{2}  + (2x + 5y) \\ mltiply \: the \: number \:  \\  = 4 x{}^{2} (2x + 5y) + 20xy(2x + 5y) + 25y {}^{2} (2 x + 5y) \\ 8x {}^{3}  + 20x {}^{2} y + 40x {}^{2}y + 100xy  +  50xy {}^{2}    + 125y {}^{3}

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Step-by-step explanation:

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