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Factorise. x^4 –(y+z)^4 ????????????????????????????????

Factorise.
x^4 –(y+z)^4 ????????????????????????????????

Grade:12

1 Answers

Anand Kumar Pandey
askIITians Faculty 5778 Points
2 months ago
Dear Student

x^4 –(y+z)^4
= (x^2)^2 – [ (y +z)^2]^2
= {x^2-(y+z)^2} { x^2+(y+z)^2}
= {(x–(y+z)(x+(y+z)}{x^2+(y+z)^2}
= (x–y–z)(x+y+z) {x^2+(y+z)^2}

Thanks

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