Question

let's factorise:
3x to the power four- 6x square a square+3a to the power four​

Answer 1

Answer :

$➜ \: 3 {x}^{2} - 6 {x}^{2} {a}^{2} + 3 {a}^{4} \\ ➜ \: 3 {x}^{4} - (3 + 3) {x}^{2} {a}^{2} + {a}^{4} \\ ➜3 {x}^{4} - 3 {x}^{2} {a}^{2} - 3 {x}^{2} {a}^{2} + 3 {a}^{4}$

$➜3 {x}^{2} ( {x}^{2} - {a}^{2} ) - 3 {a}^{2} ( {x}^{2} - {a}^{2} ) \\➜ ( {x}^{2} - {a}^{2} )(3 {x}^{2} - 3 {a}^{2} ) \\ ➜3( {x}^{2} - {a}^{2} )( {x}^{2} - {a}^{2} )$

$➜3( {x}^{2} - {a}^{2} {)}^{2} \\ ➜3(x - a {)}^{2} (x + {a}^{2} )$

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