Find the product of - - - - - - and -2 - -2 using algebraic identity-

We have, (p + q) × (p q) × (p^2 + q^2) Consider first two terms: =(p + q) × (p q) × (p^2 + q^2) = (p^2 q^2) × (p^2 + q^2) =p^4 q^4 recall: a^2 b^2 = ( ...

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Standard IX

Mathematics

Algebraic Identities

Find the prod...

Question

Find the product of $(p + q), (p - q)$ and $(p^{2} + q^{2})$ using algebraic identity.

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Solution

We have, $(p + q) \times (p - q) \times (p^{2} + q^{2})$
Consider first two terms:
$= (p + q) \times (p - q) \times (p^{2} + q^{2})$
$= (p^{2} - q^{2}) \times (p^{2} + q^{2})$
$= p^{4} - q^{4}$
$r e c a l l : a^{2} - b^{2} = (a + b) (a - b)$

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Find the product of (p+q),(p−q) and (p2+q2) using algebraic identity.

We have, (p+q)×(p−q)×(p2+q2) Consider first two terms: =(p+q)×(p−q)×(p2+q2) =(p2−q2)×(p2+q2) =p4−q4 recall:a2−b2=(a+b)(a−b)

Find the product of $(p + q), (p - q)$ and $(p^{2} + q^{2})$ using algebraic identity.

We have, $(p + q) \times (p - q) \times (p^{2} + q^{2})$
Consider first two terms:
$= (p + q) \times (p - q) \times (p^{2} + q^{2})$
$= (p^{2} - q^{2}) \times (p^{2} + q^{2})$
$= p^{4} - q^{4}$
$r e c a l l : a^{2} - b^{2} = (a + b) (a - b)$