Gujarat BoardEnglish MediumSTD 8MATHSAlgebraic Expressions, Identities and Factorisation2 Marks
Question
Subtract: $6x^2- 4xy + 5y^2$ from $8y^2+ 6xy - 3x^2$
✓
Answer
The required difference is given by
$ \left(8 y^2+6 x y-3 x^2\right)-\left(6 x^2-4 x y+5 y^2\right) $
$ =8 y^2+6 x y-3 x^2-6 x^2+4 x y-5 y^2 $
$ =\left(8 y^2-5 y^2\right)+(6 x y+4 x y)-\left(3 x^2+6 x^2\right) $
$ =3 y^2+10 x y-9 x^2 $
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