Question

Consider the expressions shown below.

Answer 1

===> Exercise 1

(3x² - 7x + 14) + (5x² + 4x - 6)

Match 3x² and 5x² to get 8x².

• 8x² - 7x + 14 + 4x - 6

Combine −7x and 4x to get −3x.

• 8x² −3x + 14 − 6

Subtract 6 from 14 to get 8.

• 8x² - 3x + 8

Therefore, the expression (3x² - 7x + 14) + (5x² + 4x - 6), is equivalent to the expression "B".

===> Exercise 2

(2x² - 5x -3) + (-10x² + 2x + 7)

Combine 2x² and -10x² to get −8x².

• −8x² −5x − 3 + 2x + 7

Combine −5x and 2x to get −3x.

• -8x² − 3x − 3 + 7

Add −3 and 7 to get 4.

• -8x² - 3x + 4

Therefore, the expression (2x² - 5x -3) + (-10x² + 2x + 7), is equivalent to the expression "A".

===> Exercise 3

(12x² - 2x - 13) + (-4x² + 5x +9)

Combine 12x² and -4x² to get 8x².

• 8x² − 2x −13 + 5x + 9

Combine −2x and 5x to get 3x.

• 8x² + 3x − 13 + 9

Add −13 and 9 to get −4.

• 8x² + 3x - 4

Therefore, the expression (12x² - 2x - 13) + (-4x² + 5x +9), is equivalent to the expression "C".