Question

Express (x + 5)^2 as a trinomial in standard form.

Answer 1

To express (x + 5)^2 as a trinomial in standard form, we expand the binomial to get x^2 + 10x + 25.

Step-by-step explanation:

To express (x + 5)^2 as a trinomial in standard form, we will expand the binomial by using the FOIL (First, Outer, Inner, Last) method or the square of a binomial pattern. The square of a binomial pattern states that (a + b)^2 = a^2 + 2ab + b^2. Applying this to (x + 5)^2, we get:

• The square of the first term: x^2
• Twice the product of the two terms: 2 × (x × 5) = 10x
• The square of the second term: 5^2 = 25

Combining these, we get

x^2 + 10x + 25.

This is the trinomial in standard form.