Question

Factorise 3a^2 + 5a^b^2 + 2b^4

Answer 1

Answer:

$(3a+2b^{2} )(a+b^{2} )$

Step-by-step explanation:

$3a^{2} + 5a b^{2} + 2b^{4}$

Taking the l.c.m. of 3 and 2(coefficients of a^2 and b^4), we get 6,

the factors are 2 and 3.

Therefore, 5ab^2 can be written as,

⇒$3a^{2}+ 3ab^{2}+ 2a}b^{2}+2b^{4}$

taking the commons out, we get

⇒$3a (a+b^{2} )+2b^{2} (a+ b^{2} )$

⇒$(3a+2b^{2} )(a+b^{2} )$