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Algebraic Expressions — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSAlgebraic Expressions2 Marks
Question
Add the following expressions:
$a^4-2 a^3 b+3 a b^3+4 a^2 b^2+3 b^4,-2 a^4-5 a b^3+7 a^3 b-6 a^2 b^2+b^4$
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Answer

Adding the given expressions,
We have,
$a^4-2 a^3 b+3 a b^3+4 a^2 b^2+3 b^4,-2 a^4-5 a b^3+7 a^3 b-6 a^2 b^2+b^4$
$a^4-2 a^3 b+3 a b^3+4 a^2 b^2+3 b^4-2 a^4-5 a b^3+7 a^3 b-6 a^2 b^2+b^4$
Collecting positive and negative like terms together, we get
$a^4-2 a^4-2 a^3 b+7 a^3 b+3 a b^3-5 a b^3+4 a^2 b^2-6 a^2 b^2+3 b^4+b^4$
$=-a^4+5 a^3 b-2 a b^3-2 a^2 b^2+4 b^4$

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