Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Jan 21, 2024

Simplify the expression $(x+10)^{2}$ .

STEP 1

Assumptions
1. We need to simplify the expression $(x+10)^2$ .
2. The square of a binomial $(a+b)^2$ is given by the formula $a^2 + 2ab + b^2$ .

STEP 2

Apply the formula for squaring a binomial to the given expression.
$(x+10)^2 = x^2 + 2 \cdot x \cdot 10 + 10^2$

STEP 3

Calculate the individual terms of the expression.
$x^2 + 2 \cdot x \cdot 10 + 10^2 = x^2 + 20x + 100$

STEP 4

Write the simplified expression.
$(x+10)^2 = x^2 + 20x + 100$
The simplified expression for $(x+10)^2$ is $x^2 + 20x + 100$ .

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