Question

a) x^{2 -} 4x + 5 + y^{2 ₊} 2y

b) 2x^{2 ₊} y^{2 -} 2y + 10x + 25

c) a² + 2ab +5b² +4b+1

d) 2x² + 2b²

Answer 1

a: \(=x^2-4x+4+y^2+2y+1\)

\(=\left(x-2\right)^2+\left(y+1\right)^2\)

b: \(=x^2+10x+25+x^2-2xy+y^2\)

\(=\left(x+5\right)^2+\left(x-y\right)^2\)

c: \(=a^2+2ab+b^2+4b^2+4b+1\)

\(=\left(a+b\right)^2+\left(2b+1\right)^2\)

d: \(=2\left(x^2+b^2\right)\)