Question

express as a trinomial.
(x + 10)(3x + 10)

Explanation:

Step1: Apply distributive property (FOIL)

Multiply each term in the first binomial by each term in the second binomial:
\( (x + 10)(3x + 10) = x \cdot 3x + x \cdot 10 + 10 \cdot 3x + 10 \cdot 10 \)

Step2: Simplify each product

Calculate each term:
\( x \cdot 3x = 3x^2 \), \( x \cdot 10 = 10x \), \( 10 \cdot 3x = 30x \), \( 10 \cdot 10 = 100 \)

Step3: Combine like terms

Add the \( x \)-terms: \( 10x + 30x = 40x \).
Combine all terms: \( 3x^2 + 40x + 100 \)

Answer:

\( 3x^2 + 40x + 100 \)