Question

Simplify the expression and find its value when x = –3 and y = +5:

2(x2 + 2xy) + 5 – xy + y2​

Answer 1

2(x2 + 2xy) + 5 – xy + y2

2 x - 3 x 2 + 2 x - 3 + 5 + 5 x - (- 3 + 5) x + (+ 5 x 2)

2 x - 3 x 2 + 2 x - 3 + 5 + 5 x + 3 + 5 x + 5 x 2

- 6 x 2 + (- 6) + 5 + 15 + 25 x 2

- 12 - 6 + 5 + 15 + 50

- 12 - 1 + 65

- 12 + 64

= 52