Question

$(3a^{2}-5ab + b^{2})+(-3a^{2}+2b^{2}+8ab)$
which of the following shows the sum of the
polynomials rewritten with like terms grouped
together?
$\bigcirc$ $3a^{2}+(-3a^{2})+(-5ab + 8ab)+(b^{2}+2b^{2})$
$\bigcirc$ $3a^{2}+(-3a^{2})+(-5ab + 2b^{2})+(b^{2}+8ab)$
$\bigcirc$ $3a^{2}+3a^{2}+(5ab + 8ab)+(b^{2}+2b^{2})$
$\bigcirc$ $3a^{2}+3a^{2}+(5ab + 2b^{2})+(b^{2}+8ab)$

Explanation:

Step1: Identify like terms

Like terms: $3a^2$ & $-3a^2$; $-5ab$ & $8ab$; $b^2$ & $2b^2$

Step2: Group like terms together

Group each set of like terms: $[3a^2 + (-3a^2)] + (-5ab + 8ab) + (b^2 + 2b^2)$

Step3: Match with options

Compare the grouped expression to the given choices.

Answer:

[A. $[3a^2 + (-3a^2)] + (-5ab + 8ab) + (b^2 + 2b^2)$]