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[tex]\huge\boxed{Question:}[/tex]
Hi! Can anyone help me with my homework?
[tex]\bold{(x+4)^{5} }[/tex]
No spam. Due today. Thanks.
[tex]\bf{erutaNtneliS[/tex]

Sagot :

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MrRoyalidn

The equivalent expression for (x + 4)^5 is [tex]x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x + 1024[/tex]

The expression is given as:

[tex](x + 4)^5[/tex]

To expand the expression, we make use of Pascal triangle, where:

5:= 1 5 10 10 5 1

So, we have:

[tex](x + 4)^5 = 1 * x^5 * 4^0 + 5 * x^4 * 4^1 + 10 * x^3 * 4^2 + 10 * x^2 * 4^3 + 5 * x * 4^4 + 1 * x^0 * 4^5[/tex]

Evaluate the exponents

[tex](x + 4)^5 = 1 * x^5 * 1 + 5 * x^4 * 4 + 10 * x^3 * 16 + 10 * x^2 * 64 + 5 * x * 256 + 1 *1 * 1024[/tex]

Evaluate the products

[tex](x + 4)^5 = x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x + 1024[/tex]

Hence, the equivalent expression for (x + 4)^5 is [tex]x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x + 1024[/tex]

Read more about binomial expressions at:

https://brainly.com/question/13602562

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