Question

Add the algebraic expressions.

a. -6p²+8q² - 2pq- 5 and 2p² -3q² -2pq+3
b. 5x+6y and -8x -3y

Grade8

Answer 1

a: -4p² + 5q² - 4pq - 2

b: -3x + 3y

Explanation:

When we combine like terms, we get:

(-6p²+8q² - 2pq- 5) + ( 2p² -3q² -2pq+3) = -4p² + 5q² - 4pq - 2

Therefore, the simplified expression is -4p² + 5q² - 4pq - 2.

Next:

(5x+6y)+ (-8x -3y) = 5x - 8x + 6y - 3y

Combining like terms gives us:

5x - 8x + 6y - 3y = -3x + 3y

Therefore, the simplified expression is -3x + 3y.