Question

C=2x^2+y^2-2xy-10x+27

Answer 1

C = 2x² + y² - 2xy - 10x + 27

=> C = x² + x² + y² - 2xy - 10x + 25 + 2

=> C = (x² - 2xy + y²) + (x² - 10x + 25) + 2

=> C = (x - y)² + (x - 5)² + 2

Answer 2

1) 2006^2-36

2) 99³+1+3(99²+99)

Answer 3

1) \(2006^{2-36}=2006^{-34}=\frac{1}{2006^{34}}\)

2) \(99^3+1+3\left(99^2+99\right)=99^3+1+3\left[99\left(99+1\right)\right]=99^3+1+3.9900\)

\(=970299+1+29700=1000000\)