Solve for: (10x+5)^2

Expression: ${\left( 10x+5 \right)}^{2}$

Write as a product

$\left( 10x+5 \right) \times \left( 10x+5 \right)$

Multiply each term in the first parentheses by each term in the second parentheses (FOIL)

$10x \times 10x+10x \times 5+5 \times 10x+5 \times 5$

Calculate the product

$100{x}^{2}+10x \times 5+5 \times 10x+5 \times 5$

Calculate the product

$100{x}^{2}+50x+5 \times 10x+5 \times 5$

Calculate the product

$100{x}^{2}+50x+50x+5 \times 5$

Multiply the numbers

$100{x}^{2}+50x+50x+25$

Collect like terms

$100{x}^{2}+100x+25$