Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Get quick and reliable solutions to your questions from knowledgeable professionals on our comprehensive Q&A platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Find each square (x+4)^2

Sagot :

Wallameg000

Answer:

[tex]x^{2} +8x+16[/tex]

Step-by-step explanation:

There are 2 ways to find the square of a binomial. You can use FOIL or use a formula. Just remember that the square of a binomial will always be a trinomial.

FOIL

Since we are squaring a binomial we can rewrite the expression as (x+4) * (x+4). FOIL stands for First, Outside, Inside, Last. This explains how to multiply out 2 binomials. This method will give you 4 different terms that can then be combined to find the answer.

First - multiply the first terms of each binomial

  • x * x = [tex]x^{2}[/tex]

Outside - multiply the terms on the outside of both binomials

  • x * 4 = 4x

Inside - multiply the terms on the inside of both binomials

  • 4 * x = 4x

Last - multiply the last terms of each binomial

  • 4 * 4 = 16

Now we can combine these terms to create the new polynomial [tex]x^{2} +4x+4x+16[/tex]. Then, combine like terms for the final answer: [tex]x^{2} +8x+16[/tex].

Shortcut

Another way to square binomials is to use the formula [tex]a^{2} +2ab+b^{2}[/tex], where a is the first term and b is the second term. So, for this formula, the binomial would look like (a+b).

So, we can apply this formula by plugging in x for a and 4 for b.

  • [tex]x^2+2*4*x+4^2[/tex]

Then, multiply the middle term

  • [tex]x^{2} +8x+4^2[/tex]

Finally, square 4

  • [tex]x^2+8x+16[/tex]

This gives us the same final answer as the method above.

koredeyusuf799

Step-by-step explanation:

(x+4)^2

you can also expand it

(x+4)(x+4)

x^2+4x+4x+16

x^2+8x+16

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.