Math, asked by yanshufaldu207, 9 months ago

factorise a^4+4a^2b^2+4b^4-c^4

Answers

Answered by tahseen619
4

Solution

Factorization is so easy in algebra.

Just follow the given step carefully.

 {a}^{4}  + 4 {a}^{2}  {b}^{2}  + 4 {b}^{2}  -   {c}^{4}  \\  \\  {[ {a}^{2}  +  {b}^{2} ]}^{2}  -  {c}^{4}  \:  \:  \: [Using \: x^2+ 2xy + y^2 = (x + y)^2]

 {[ {a}^{2}  +  {b}^{2} ]}^{2}  -  {c}^{4}  \\ ( {a}^{2}  +  {b}^{2}   +  {c}^{2} )( {a}^{2}  +  {b}^{2}  -  {c}^{2} ) \:  \:  \:  \:  [Using \: \  {x}^{2} -  {y}^{2}  = (x+y)(x - y)]

Answered by rheamasih18
0

Answer:

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Step-by-step explanation:

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