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
