Question

Expand the following and collect like terms: (x+5)(x+5)​

Answer 1

Our answer is x² + 10x + 25.

`\Large\texttt{Explanation}`

We are asked to expand the following expression:

(x + 5)(x + 5)

In order to multiply two binomials, use FOIL:

• F = first
• O = Outside
• I = Inside
• L = Last

multiply the first terms -

x * x = x^2

multiply the outside terms -

x * 5 = 5x

multiply the inside terms -

5 * x = 5x

multiply the last terms -

5 * 5 = 25

`\hookrightarrow\qquad\bf{x^2+5x+5x+25}`

`\hookrightarrow\qquad\boxed{\bf{x^2+10x+25}}`

Answer 2

To expand and collect like terms for (x+5)(x+5), we can use the distributive property. Let's multiply each term in the first set of parentheses by each term in the second set of parentheses:

(x+5)(x+5) = x(x) + x(5) + 5(x) + 5(5)

Now, let's simplify and collect like terms:

x^2 + 5x + 5x + 25

Combining like terms, we get:

x^2 + 10x + 25

So, the expanded form of (x+5)(x+5) is x^2 + 10x + 25. If you have any more questions or need further assistance, feel free to ask