Question

Solve ( x²+2 )² using Algebric identity

Answer 1

THE ALGEBRAIC IDENTITY USED IS

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

$to \: slove \: {( {x}^{2} } + 2)^{2} \\ = ({ {x}^{2} )}^{2} + 2(x)(2) + 4 \\ = {x}^{4} + 4x + 4$

HOPE THIS MAY HELP YOU

Answer 2

Answer:

$(x^{2} + 2)^{2} = > is \: in \: (a + b) ^{2} form \ \\ \\ = >( x ^{2})^{2} + 2 ^{2} + 2 \times x ^{2} \times 2 \\ \\ = > x^{4} + 4x^{2} + 4 = 0$

So (x²+2)² can be expressed into x⁴+4x²+4