Question

Factorise root a^4 -14a^2b^2 -51b^4
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Answer 1

Step-by-step explanation:

${a}^{4} - 14 {a}^{2} {b}^{2} - 51 {b}^{4} \\ = {a}^{4} - 17 {a}^{2} {b}^{2} + 3 {a}^{2} {b}^{2} - 51 {b}^{4} \\ = {a}^{2} ( {a}^{2} - 17 {b}^{2} ) + 3 {b}^{2} ( {a}^{2} - 17 {b}^{2} ) \\ = ( {a}^{2} - 17 {b}^{2} )( {a}^{2} + 3 {b}^{2} )$

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Answer 2

a4−14a2b2−51b4=a4−17a2b2+3a2b2−51b4=a2(a2−17b2)+3b2(a2−17b2)=(a2−17b2)(a2+3b2)

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