Question

factorise x^2+5xy+4y^2​

Answer 1

Answer:(x+y)(x+4y)

Step-by-step explanation:

x²+5xy+4y²

Multiply first and last term.Then you will get 4x²y²

We have to write Factors of 4:

i.e; 1×4,2×2

When we take 1×4 we get sum of 1 and 4 is 5.

So,

We can write 5xy as 4xy+1xy

x²+1xy+4xy+4y²

x(x+y)+4y(x+y)

(x+y)(x+4y)

Answer 2

(X+4Y)(X+Y) is the answer for this question