Question - Simplifying Algebraic Expression with Like Terms
Solution:
The given expression is:$$ 2a^2b - 8ab^2 + b^4 + 3ab^2 $$To simplify the expression, combine like terms. Like terms are terms that have the exact same variables raised to the exact same powers.The first term $$2a^2b$$ does not have any other like terms, so we can leave it as it is.The second term $$-8ab^2$$ and the fourth term $$3ab^2$$ are like terms because they both have $$ab^2$$.Combine them:$$-8ab^2 + 3ab^2 = -5ab^2$$The third term $$b^4$$ does not have any like terms, so we also leave that term as it is.Putting them all together, our simplified expression is:$$ 2a^2b - 5ab^2 + b^4 $$That’s the final simplified form of the given expression.
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