Question

factorise 4x^2 +12xy+5y^2
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Answer 1

Answer:

$\sf4 {x}^{2} + 12xy + 5 {y}^{2} \\ \sf= 4 {x}^{2} + 4xy + 5xy + 5 {y}^{2} \\\sf = 4x(x + y) + 5y(x + y) \\ \sf= (x + y)(4x + 5y)$

Answer 2

Answer:

(2x+y)(2x+5y)

Step-by-step explanation:

Given:

= 4x²+12xy+5y²

=4x²+10xy+2xy+5y² [splitting the middle term]

=2x(2x+5y)+y(2x+5y) [taking 2x and y as a common factor]

=(2x+y)(2x+5y)