Question
$3 x+23 x^2+6 y^2+2 x+y^2+$_________$=5 x+7 y^2$.
✓
Answer
$3 x+23 x^2+6 y^2+2 x+y^2+\underline{M}=5 x+7 y^2$
Solution:
$\text { Let }\left(3 x+23 x^2+6 y^2+2 x+y^2\right)+M=5 x+7 y^2$
$\Rightarrow M=\left(5 x+7 y^2\right)-\left(3 x+23 x^2+6 y^2+2 x+y^2\right)$
$\Rightarrow M=5 x+7 y^2-3 x-23 x^2-6 y^2-2 x-y^2$
$\Rightarrow M=5 x-3 x-2 x+7 y^2-6 y^2-y 2-23 x^2$
$M=0+0-23 x^2=-23 x^2$
[with - ve sign, + ve sign in the bracket will change on opening it]
Solution:
$\text { Let }\left(3 x+23 x^2+6 y^2+2 x+y^2\right)+M=5 x+7 y^2$
$\Rightarrow M=\left(5 x+7 y^2\right)-\left(3 x+23 x^2+6 y^2+2 x+y^2\right)$
$\Rightarrow M=5 x+7 y^2-3 x-23 x^2-6 y^2-2 x-y^2$
$\Rightarrow M=5 x-3 x-2 x+7 y^2-6 y^2-y 2-23 x^2$
$M=0+0-23 x^2=-23 x^2$
[with - ve sign, + ve sign in the bracket will change on opening it]
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