Question

factorise the following expression a power 4 + 2 a square B square + b power 4

Answer 1

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Answer 2

(a²+b²)(a²+b²)

Step-by-step explanation:

$a^{4} +2a^{2}b^{2} +b^{4}$

Write the middle term as 2a²b²=a²b²+a²b²

$a^{4} +a^{2}b^{2}+a^{2}b^{2} +b^{4}$

Make group as shown below

$(a^{4} +a^{2}b^{2})+(a^{2}b^{2} +b^{4})$

Take GCF from each group

$(a^{2}(a^{2} +b^{2})+(b^{2}(a^{2} +b^{2})$

Factor out the common term

$(a^{2} +b^{2})(a^{2} +b^{2})$

Learn More:

Factorise

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