Math, asked by diyakhrz12109, 8 months ago

expand (x+2/5 y)³

Please please answer this ​

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Answered by Anonymous
0

Step-by-step explanation:

have a great life ahead buddy

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Answered by Anonymous
54

\dagger\huge\mathfrak\purple{Solution}

\mathtt{Expand{(:x + \frac{2}{5y})}^{3} }

{\underline{\blue{\orange{\boxed{\mathtt{\purple{Identity\: :\:{(a + b )}^{3} = {a}^{3} + {b}^{3} + 3{a}^{2}b + 3a{b}^{2} }}}}}}}

{\longmapsto{\mathtt{ here , a = x , b = \dfrac{2}{5y}}}}

{\longmapsto{\mathtt{{(x)}^{3} + {\big(\frac{2}{5y}}\big)^{3}+ 3 × {(x)}^{2} × \frac{2}{5y} + 3 × x × {\big(\frac{2}{5y}\big)}^{2} }}}

{\longmapsto{\mathtt{{x}^{3} +\frac{8}{{125y}^{3}} + \frac{{6x}^{2}}{5y} + \frac{12x}{{25y}^{2}}}}}

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⠀⠀⠀⠀⠀⠀⠀ ⠀{\blue{\boxed{\mathbb{\green{Brainly\:\:Booster}}}}}

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{\ast {\green {\underline{\mathtt{Some \:more \: identities}}}}}

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{\star{\mathtt{ {(a + b )}^{2} = {(a)}^{2} +{(b)}^{2} + 2ab }}}

{\star{\mathtt{ {(a - b )}^{2} = {(a)}^{2} +{(b)}^{2} -2ab}}}

{\star{\mathtt{ {(a + b + c )}^{2} = {(a)}^{2} + {(b)}^{2} + {(c)}^{2}  + 2ab + 2bc + 2ac }}}

{\star{\mathtt{ {( a - b - c )}^{2} = {(a)}^{2} + {(b)}^{2} + {(c)}^{2} - 2ab - 2bc - 2ac}}}

{\star{\mathtt{ ({a}^{3} + {b}^{3} +{c}^{3} - 3abc ) = ( a + b + c )({a}^{2} + {b}^{2} + {c}^{2} - ab -bc -ac)}}}

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