Factorize : a4-2a2b2+b4

Factorize : $a^{4} - 2 a^{2} b^{2} + b^{4}$

Match the items on the right to the items on the left.

Step 1

Step 2

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Step 4

a^{4} - 2 a^{2} b^{2} + b^{4} = {(a^{2})}^{2} - 2 \times a^{2} \times b^{2} + {(b^{2})}^{2}

= {(a^{2} - b^{2})}^{2}

= {\{(a + b) (a - b)\}}^{2}

= {(a - b)}^{2} (a + b)^{2}