Example Question - algebraic terms
Here are examples of questions we've helped users solve.
Multiplication of Algebraic Terms
The expression in the image shows the multiplication of two algebraic terms: -2a and 3bc. When multiplying these terms together, you can multiply the numerical coefficients and the variables separately: The numerical coefficients are -2 and 3. When you multiply them, you get -2 * 3 = -6. The variable parts are a and bc. When you multiply variables, you get their product. In this case, a * bc = abc (since variables are generally written in alphabetical order). Therefore, the product of -2a and 3bc is -6abc.
Simplifying Algebraic Expression with Like Terms
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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