Math, asked by Beanchi, 5 hours ago

factorize the following 8x³+125y³​

Answers

Answered by Anonymous
9

Step-by-step explanation:

 \underline{ \huge{  \sf \green{Factorisation:-}}}

 \sf{ \pmb{We  \: know  \: that, \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  }} \\  \sf{ \pmb{ \purple{a³ +b³ = (a + b)(a² - ab+ b²)}}}

 \sf{ \pmb{8x³+125y³}}  \:  \:   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \: \: \\ \sf{ \pmb{{  {= }( 2x)}^{3} + {(5y)}^{3} } }  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \\   \\ { \pmb{ {\orange{ {{\red{ {\star}}}} \underline{Applying \:  Formula}-}}}}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \\  \sf{ \pmb{ {= }(2x + 5y) \{{(2x)}^{2} - 2x \times 5y +  {(5y)}^{2}  \} }} \\ \sf{ \pmb{ {= }\pink{( 2x + 5y)(4 {x}^{2}   - 10xy + 25 {y}^{2} )}}} \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

Answered by durgaprasad30622
2

Answer:

HERE IS UR ATTACHMENT

Step-by-step explanation:

HAVE A NICE DAY

HOPE ITS HELP U

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