Question

Add 3a2 + 5ab – b

2 and - 6a2 – 2ab2 + 2ab + 2b2​

Answer 1

(3a² + 5ab - b²) + (-6a² - 2ab² + 2ab + 2b²)l

3a² - 6a² - 5ab² + 5ab + 2ab - b² + 2b²

-3a² - 0 + 7ab + b²

-3a² + b² - 7ab

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Answer 2

Given,

$\[3{a^2} + 5ab - {b^2}\]$ and $\[ - 6{a^2} - 2a{b^2}{\rm{ + 2ab + 2}}{{\rm{b}}^2}\]$

Solution,

Addition

$\[\begin{array}{l} = 3{a^2} + 5ab - {b^2} + \left( { - 6{a^2} - 2a{b^2}{\rm{ + 2ab + 2}}{{\rm{b}}^2}} \right)\\ = - 3{a^2} + 7ab + {b^2} - 2a{b^2}\end{array}\]$

Hence the addition is $\[ - 3{a^2} + 7ab + {b^2} - 2a{b^2}\]$