The binomial (2 · x + y)⁷ in expanded form by 128 · x⁷ + 448 · x⁶ · y + 672 · x⁵ · y² + 560 · x⁴ · y³ + 280 · x³ · y⁴ + 84 · x² · y⁵ + 14 · x · y⁶ + y⁷.
<h3>How to expand the power of a binomial</h3>
Herein we have the seventh power of a binomial, whose expanded form can be found by using the binomial theorem and Pascal's triangle. Hence, we find the following expression for the expanded form:
(2 · x + y)⁷
(2 · x)⁷ + 7 · (2 · x)⁶ · y + 21 · (2 · x)⁵ · y² + 35 · (2 · x)⁴ · y³ + 35 · (2 · x)³ · y⁴ + 21 · (2 · x)² · y⁵ + 7 · (2 · x) · y⁶ + y⁷
128 · x⁷ + 448 · x⁶ · y + 672 · x⁵ · y² + 560 · x⁴ · y³ + 280 · x³ · y⁴ + 84 · x² · y⁵ + 14 · x · y⁶ + y⁷
Then, the binomial (2 · x + y)⁷ in expanded form by 128 · x⁷ + 448 · x⁶ · y + 672 · x⁵ · y² + 560 · x⁴ · y³ + 280 · x³ · y⁴ + 84 · x² · y⁵ + 14 · x · y⁶ + y⁷.
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Answer:
she pays a total of 3.60 she plays 1.16 for each pen
Step-by-step explanation:
Seven less than the product of thirteen times a number, and two squared is as follows;
(13x × 2²) - 7
<h3>How to represent an expression?</h3>
The expression says seven less than the product of thirteen times a number, and two squared.
Let
the number = x
Hence, the product of thirteen times a number, and two squared is as follows:
13(x)(2²)
Therefore, seven less than the product of thirteen times a number, and two squared is as follows;
(13x × 2²) - 7
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Answer:
78
Step-by-step explanation:
4(x) = 4(7) = 28 5(x) = 5(10) = 50
28+50=
78
F'(x) is the derivative of f(x). the y value of derivative is the same
value as the slope of f(x) at whatever point your looking at so at x=1
the tangent line of f(x) will be horizontal (or zero) so f'(x)=0