Subjective Type

Factorise the following expression using algebraic identities. $$ a^4 + 6a^2b^2 +9b^4 $$

Solution

Using $$ (a+b)^2=a^2+2ab+b^2 $$
$$ a^4+6a^2b^2+9b^4 $$
=$$(a^2)^2+2 \times a^2\times 3b^2 + (3b^2)^2 $$
=$$(a^2+3b^2)^2 $$

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