Question

factorise a^4-2a^2b^2+b^4​

Answer 1

Answer:

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

Step-by-step explanation:

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