Question

Expand the following: a) x(x + 2) b) x(2x - 5) c) 2x(3x + 4) d) 6x(x - 2)

Answer 1

Answer:

$a. \: {x}^{2} + 2$

$b. \: 2 {x}^{2} - 5x$

$c. \: 6 {x}^{2} + 8x$

$d. \: 6 {x}^{2} - 12x$

solution,

$a. \: x(x + 2) \\ \: \: = x \times x + 2 \times x \\ \: \: = {x}^{2} + 2x$

$b . \: x(2x - 5) \\ \: = x \times 2x - x \times 5 \\ \: \: = 2 {x}^{2} - 5x$

$c. \: 2x(3x + 4) \\ \: = 2x \times 3x + 2x \times 4 \\ \: \: = 6 {x}^{2} + 8x$

$d. \: 6x(x - 2) \\ \: \: = 6x \times x - 6x \times 2 \\ \: \: = 6 {x}^{2} - 12x$

Hope this helps...

Good luck on your assignment..