Questions: Multiply and simplify: 5x+3^2

Transcript text: Multiply and simplify: $(5 x+3)^{2}$ Please do not use parenthesis in your answer.

Solution

Step 1: Expand the expression using the formula for squaring a binomial

The expression $(5x + 3)^2$ can be expanded using the formula $(a + b)^2 = a^2 + 2ab + b^2$, where $a = 5x$ and $b = 3$.

Step 2: Apply the formula

Substitute $a = 5x$ and $b = 3$ into the formula: \[ (5x + 3)^2 = (5x)^2 + 2 \cdot (5x) \cdot 3 + 3^2 \]

Step 3: Simplify each term

Calculate each term separately: \[ (5x)^2 = 25x^2 \] \[ 2 \cdot (5x) \cdot 3 = 30x \] \[ 3^2 = 9 \]

Step 4: Combine the terms

Combine the simplified terms: \[ 25x^2 + 30x + 9 \]

$\boxed{25x^2 + 30x + 9}$

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