Question

$add \: 15xy \: + x ^{2} + 2 \: to \: the \: sum \: of \: 11xy - x ^{2} - 4 \: and \: - 14xy \: + 5x^{2}$
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Answer 1

$\Huge\rm\purple{anSwer:}$

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$\bf{{\underline{To~add}}:}$

• $\sf{15xy+x^{2}+2}$ to the sum of $\sf{11xy-x^{2}-4}$ and $\sf{-14xy+5x^{2}}$

$\bf{{\underline{Solution}}:}$

• First, we should have to find the sum of ; $\sf{11xy-x^{2}-4}$ and $\sf{-14xy+5x^{2}}$

$\sf (11xy - x^{2} - 4) + ( - 14xy + {5x}^{2} ) \\ \sf : \mapsto (11xy - 14xy) + ( - {x}^{2} + {5x}^{2} ) + ( - 4) \\ \sf : \mapsto ( - 3xy) + (4 {x}^{2} ) + ( - 4) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf : \mapsto \purple{ \underline{ \underline{ \bf - 3xy + {4x}^{2} - 4}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

• Now , add $\sf{15xy+x^{2}+2}$ and $\sf{-3xy+4x^{2}-4}$

$\sf (15xy + {x}^{2} + 2) + ( - 3xy + {4x}^{2} - 4) \\ \sf : \mapsto (15xy -3xy) + ( {x}^{2} + {4x}^{2} ) + (2 - 4) \: \: \: \: \: \: \: \\ \sf : \mapsto (12xy) + ( {5x}^{2} ) + ( - 2) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf : \mapsto \purple{ \underline{ \boxed{ \bf 12xy + {5x}^{2} - 2}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$