Question

simplify the following polynomials. all final answers must be in standard form.

1. $(3y^{2}-4y + 1)+(-y^{2}+y - 2)$
2. $(2m^{2}-8m + 2)-(3m^{2}+5m + 7)$

Explanation:

Step1: Remove parentheses (Q7)

$3y^2 - 4y + 1 - y^2 + y - 2$

Step2: Combine like terms (Q7)

$(3y^2 - y^2) + (-4y + y) + (1 - 2)$

Step3: Simplify (Q7)

$2y^2 - 3y - 1$

Step4: Distribute negative sign (Q8)

$2m^2 - 8m + 2 - 3m^2 - 5m - 7$

Step5: Combine like terms (Q8)

$(2m^2 - 3m^2) + (-8m - 5m) + (2 - 7)$

Step6: Simplify (Q8)

$-m^2 - 13m - 5$

Answer:

1. $2y^2 - 3y - 1$
2. $-m^2 - 13m - 5$