Which expression is equivalent to (4x⁵ + 11)² ?
O 16x^5 + 121
O 16x^10 + 121
⊙ 16x^10 +88x^5 + 121
O 16x^25 +88x^5 + 121
Step-by-step explanation:
Using formula :
(a + b)² = a² + 2ab + b²
so that…
(4x⁵ + 11)²
= (4x⁵)² + 2(4x⁵)(11) + 11²
= 16x¹⁰ + 88x⁵ + 121
[tex]16x^{10} +88x^{5} +121[/tex] expression is equivalent to [tex](4x^{5} +11)^{2}[/tex].
An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it.
Given expression
[tex](4x^{5} +11)^{2}[/tex]
It is in the form of [tex](a+b)^{2} =a^{2} + 2ab+b^{2}[/tex]
[tex](4x^{5} +11)^{2}[/tex] = [tex](4x^{5}) ^{2} +2\times 4x^{5}\times11+11^{2}[/tex]
= [tex]16x^{10} +88x^{5} +121[/tex]
[tex]16x^{10} +88x^{5} +121[/tex] expression is equivalent to [tex](4x^{5} +11)^{2}[/tex].
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