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Example1

Title: Multiply and Divide Variables

Grade 6+ Lesson s2-l7

Explanation: The best way to understand algebra is by looking at some examples. Take turns and read each example for easy understanding.

Examples

Topics → Definition Example1 Example2

Multiply \$ a^2 b \$ by \$ 2ab^2\$.

Step 1

The terms are \$ a^2b \$ and \$ 2ab^2\$.

Multiply the coefficients and combine the variables:

\$ (a^2 b) \times (2ab^2) \$

⇒ \$( 2 times 1 ) times ( a^2 \times a ) × ( b \times b^2 )\$

⇒ \$2a^3b^3\$

The result is \$2a^3b^3\$.

Explanation:

Therefore, after multiplying the terms the value is \$2a^3b^3\$.