Question

factorize p⁴-81q⁴
quickly plzzzzzz

Answer 1

Given Equation is p^4 - 81q^4

= > (p)^2 - (9q^2)^2

= > (p^2 + 9q^2)(p^2 - 9q^2)

= > (p^2 + 9q^2)((p)^2 - (3q)^2)

We know that a^2 - b^2 = (a + b)(a - b)

= > (p^2 + 9q^2)(p + 3q)(p - 3q).


Hope this helps!

Answer 2

Hay!!

Dear friend -

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P^4-81q^4

=> (p²)²-(9q²) ²

=> Now we used formula a²-b²


so,

(p²-9q²) (p²+9q²)

=> (p-3q) (p+3q) (p²+9q²)

I hope it's help you