Question

Find the product. $$(x+10)(x+10)$$

Short answer

The product of \( (x+10)(x+10) \) is \( x^{2} + 20x + 100 \).

Step-by-step solution

Apply the FOIL Method - First

Multiply the first terms of each binomial - \( x^{2} \)

Apply the FOIL Method - Outer and Inner

Multiply the outer and inner terms. You get \( 10x \) each time. Adding these together results in \( 20x \).

Apply the FOIL Method - Last

Finally, multiply the last terms of each binomial, which gives you \( 100 \).

Add all terms

All terms after multiplication need to be added together to obtain the final product, resulting in \( x^{2} + 20x + 100 \).