Question

factorise:3x^4-6x^2a^2+3a^4​

Answer 1

Answer:

3(a^2-x^2)^2.

Step-by-step explanation:

taking 3 common.

3(x^4-2a^2x^2+a^4).

the part in bracket is:

3(a^2-x^2).ANS....

Answer 2

$\huge\star\underline\textsf{Question:- }$

$\boxed{\sf3x {}^{4 } - 6x {}^{2} a {}^{2} + 3a {}^{4} }$

$\huge\star\underline\textsf{Explanation:- }$

$\leadsto\sf\green{3x {}^{4} - (3 + 3)x {}^{2} a {}^{2} + 3a {}^{4}}$

$\leadsto\sf\red{3x {}^{4} - 3x {}^{2} {a}^{2} - 3x {}^{2}a {}^{2} + 3a {}^{4} }$

$\leadsto\sf\orange{3x {}^{2} (x {}^{2} - a {}^{2} ) - 3a {}^{2} (x {}^{2} - a {}^{2} )}$

$\leadsto\sf\blue{(x {}^{2} - a {}^{2} )(3x {}^{2} - 3a {}^{2} )}$

$\leadsto\sf\purple{3(x {}^{2} - a {}^{2} )(x {}^{2} - a {}^{2} )}$

$\huge\star\boxed{\bf Ans.3(x {}^{2} - a {}^{2} ) {}^{2} }$