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Algebraic Identities

factorise a7+...

Question

factorise a⁷+ab⁶

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Solution

Consider, a7 + ab6 = a(a6 + b6) = a[(a2)3 + (b2)3] = a[a2 + b2][a4 + a2b2 + b4]

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Q. Factorise: a⁷ − ab⁶

a^{7} + a b^{6}

a⁷+ab⁶ solve with explation

{(b - c)}^{7} + {(c - a)}^{7} + {(a - b)}^{7}

\frac{8}{27} a^{7} b^{2} + \frac{4}{9} a^{5} b^{2}

is factorised, then its simplified form is

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