Chapter 5: Q.234. (page 537)

Multiply each pair of conjugates using the product of the conjugates pattern.
$(m + \frac{2}{3} n) (m - \frac{2}{3} n)$

Short Answer

Expert verified

The solution is $m^{2} - \frac{4}{9} n^{2}$ .

Step by step solution

Step 1. Given information.

The given expression is $(m + \frac{2}{3} n) (m - \frac{2}{3} n)$ .

Step 2. Simplify the expression by using the difference of squares a+ba-b=a2-b2.

Solve it as follows:

$(m + \frac{2}{3} n) (m - \frac{2}{3} n) = {(m)}^{2} - {(\frac{2}{3} n)}^{2} \Rightarrow m^{2} - \frac{4}{9} n^{2}$

Step 3. Simplified expression.

Hence, the required expression is $m^{2} - \frac{4}{9} n^{2}$ .

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Multiply each pair of conjugates using the product of the conjugates pattern.
$(m + \frac{2}{3} n) (m - \frac{2}{3} n)$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Simplify the expression by using the difference of squares a+ba-b=a2-b2.

Step 3. Simplified expression.

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Multiply each pair of conjugates using the product of the conjugates pattern.m+23nm-23n

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Simplify the expression by using the difference of squares a+ba-b=a2-b2.

Step 3. Simplified expression.

One App. One Place for Learning.

Most popular questions from this chapter

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Multiply each pair of conjugates using the product of the conjugates pattern.
$(m + \frac{2}{3} n) (m - \frac{2}{3} n)$