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Subtract $a^{2} + 2 ab - b^{2}$ from $3 a^{2} - ab + 4 b^{2}$ .

Class 8Adding and Subtracting ExpressionsAlgebra

A $4 a^{2} + ab + 3 b^{2}$
B $2 a^{2} - 3 ab + 3 b^{2}$
C $2 a^{2} + ab + 3 b^{2}$
D $2 a^{2} - 3 ab + 5 b^{2}$

Step-by-Step Solution

3 a^{2} - ab + 4 b^{2} - a^{2} - 2 ab + b^{2} = 2 a^{2} - 3 ab + 5 b^{2}

. Every sign of the expression being subtracted changes.

Answer: D)

2 a^{2} - 3 ab + 5 b^{2}

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