(2y+(2/3))^7

asked by guest
on Nov 17, 2024 at 1:42 pm



You asked:

Evaluate the expression: \({\left( 2 y + \frac{2}{3} \right)}^{7}\)

MathBot Answer:

Evaluated



\(\displaystyle {\left( 2 y + \frac{2}{3} \right)}^{7} = \left(2 y + \frac{2}{3}\right)^{7} \)


Expanded

\[{\left( 2 y + \frac{2}{3} \right)}^{7} = 128 y^{7} + \frac{896 y^{6}}{3} + \frac{896 y^{5}}{3} + \frac{4480 y^{4}}{27} + \frac{4480 y^{3}}{81} + \frac{896 y^{2}}{81} + \frac{896 y}{729} + \frac{128}{2187}\]


Factored

\[{\left( 2 y + \frac{2}{3} \right)}^{7} = \frac{128 \left(3 y + 1\right)^{7}}{2187}\]