Question

1. find each sum.

a. $(6s + 5t) + (4t + 8s)$
b. $(2h^2 - 5h) + (7h - 3h^2)$
c. $(6k^2 + 2k + 9) + (4k^2 - 5k + 3)$
d. $(z^2 + 5) + (z^2 - 11)$
e. $(4a - 5b^2 + 3) + (6 - 2a + 3b^2)$
f. $(3a^2 - 2a + 1) + (4b - 5a + 3)$

Explanation:

Step1: Group like terms

$(6s + 8s) + (5t + 4t)$

Step2: Combine like terms

$14s + 9t$

Step1: Group like terms

$(2h^2 - 3h^2) + (-5h + 7h)$

Step2: Combine like terms

$-h^2 + 2h$

Step1: Group like terms

$(6k^2 + 4k^2) + (2k - 5k) + (9 + 3)$

Step2: Combine like terms

$10k^2 - 3k + 12$

Step1: Group like terms

$(z^2 + z^2) + (5 - 11)$

Step2: Combine like terms

$2z^2 - 6$

Step1: Group like terms

$(4a - 2a) + (-5b^2 + 3b^2) + (3 + 6)$

Step2: Combine like terms

$2a - 2b^2 + 9$

Step1: Group like terms

$(3a^2) + (-2a - 5a) + (4b) + (1 + 3)$

Step2: Combine like terms

$3a^2 - 7a + 4b + 4$

Answer:

a. $14s + 9t$
b. $-h^2 + 2h$
c. $10k^2 - 3k + 12$
d. $2z^2 - 6$
e. $2a - 2b^2 + 9$
f. $3a^2 - 7a + 4b + 4$