Question

Factorise-
4x^2+25y^2+1-20xy+4x-10y

Answer 1

Answer:

Re order the terms as:

4x² + 25y² + 1 - 20xy - 10y + 4x

4x² + 25y² + 1 + (-20xy) + (-10y) + (4x)

We know that:

a² + b² + c² + 2ab + 2bc + 2ca = (a + b + c)²

So,

We see that wherever there is y, negative term is there. So, y is negative.

So, it is,

(2x - 5y + 1)²