Chapter 8: Q14. (page 469)

Find each product.
${(x + 5)}^{2}$

Short Answer

Expert verified

$x^{2} + 10 x + 25$

Step by step solution

Step 1. Write a pattern of square of a sum.

The square of $x + y$ is the square of x plus twice the product of x and y plus square of y, that is,

${(x + y)}^{2} = (x + y) (x + y) = x^{2} + 2 x y + y^{2}$

Step 2. Apply pattern of square of sum.

Apply the pattern of square of sum to the given expression.

$x^{2} + 2 \cdot x \cdot 5 + 5^{2}$

Step 3. Simplify.

Simplify the above obtained expression.

$x^{2} + 10 x + 25$

Therefore, the product of ${(x + 5)}^{2}$ is $x^{2} + 10 x + 25$ .

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Find each product.
${(x + 5)}^{2}$

Short Answer

Step by step solution

Step 1. Write a pattern of square of a sum.

Step 2. Apply pattern of square of sum.

Step 3. Simplify.

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${(x + 5)}^{2}$