Question

add the given polynomials using the horizontal format.

1. $(7y^{2}-7y + 7)-(4y^{2}+2y + 3)$

$(7y^{2}-7y + 7)+(-4y^{2}-2y - 3)$

1. $(11r^{3}+6r^{2}+3)-(9r^{3}+2r^{2}-8)$

$(11r^{3}+6r^{2}+3)+(-9r^{3}-2r^{2}+8)$

Explanation:

Step1: Rearrange like terms (Problem1)

$(7y^2 - 4y^2) + (-7y - 2y) + (7 - 3)$

Step2: Combine like terms (Problem1)

$3y^2 - 9y + 4$

Step3: Rearrange like terms (Problem2)

$(11r^3 - 9r^3) + (6r^2 - 2r^2) + (3 + 8)$

Step4: Combine like terms (Problem2)

$2r^3 + 4r^2 + 11$

Answer:

1. $3y^2 - 9y + 4$
2. $2r^3 + 4r^2 + 11$