Question

Factorise: a^4 + 4



Correct answer will be marked brainiest....​

Answer 1

Answer:

${a}^{4} + 4 \\ \\ = ( {a}^{2} ) ^{2} + {(2)}^{2} \: \\ \\ using \: fomula \\ \\ {a}^{2} + {b}^{2} \\ \\ = ( {a - b)}^{2} + 2ab \\ \\ = ( {a}^{2} - 2) ^{2} + 2 \times {a}^{2} \times 2 \\ \\ = {( {a}^{2} - 2) }^{2} + 4 {a}^{2} \\ \\ now \: using \: formula \\ \\ {(a - b)}^{2} \\ \\ = {a}^{2} - 2ab + {b}^{2} \\ \\ = ({a}^{2} ) ^{2} - 2 \times {a}^{2} \times 2 + {2}^{2} + 4 {a}^{2} \\ \\ = {a}^{4} - 4 {a}^{2} + 4 + 4 {a}^{2} \\ \\ = {a}^{4} - 4$

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Answer 2

Answer:

a4-4 is the correct answer hope you get it no explanation