Chapter 6: Q. 765 (page 806)

In the following exercises, simplify the expression.
$(7 p - 5) (7 p + 5)$

Short Answer

Expert verified

The simplified expression is $49 p^{2} - 25$ .

Step by step solution

Step 1. Given information.

Consider the given question,

$(7 p - 5) (7 p + 5)$

Step 2. Simplify the expression.

We need to simplifying the expression, $(7 p - 5) (7 p + 5)$ .

$= 7 p (7 p + 5) - 5 (7 p + 5) = 7 p \cdot 7 p + 7 p \cdot 5 - 5 \cdot 7 p - 5 \cdot 5$

Using the property, $a^{x} . a^{y} = a^{x + y}$ ,

localid="1647699983864" $= (7^{1 + 1}) (p^{1 + 1}) + 35 p - 35 p - (5^{1 + 1}) = 49 p^{2} - 25$

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In the following exercises, simplify the expression.
$(7 p - 5) (7 p + 5)$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Simplify the expression.

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In the following exercises, simplify the expression.7p-57p+5

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Simplify the expression.

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In the following exercises, simplify the expression.
$(7 p - 5) (7 p + 5)$