(5x/y+4/5x)³
pls answer my question pls
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(a+b)³=a³+b³+3a²b+3ab²
use this formula
Answered by
0
Answer:
=(
y
5x
)
3
+3×(
y
5x
)
2
×(
5x
y
)+3×(
y
5x
)×(
5x
y
)
2
+(
5x
y
)
3
/* By Algebraic Identity */
\boxed{\pink{ (a+b)^{3} = a^{3}+3a^{2}b+3ab^{2}+b^{3} }}
(a+b)
3
=a
3
+3a
2
b+3ab
2
+b
3
= \frac{125x^{3}}{y^{3}} + 3\times \frac{5x}{y} + 3 \times \frac{y}{5x} + \frac{y^{3}}{125x^{3}}=
y
3
125x
3
+3×
y
5x
+3×
5x
y
+
125x
3
y
3
= \frac{125x^{3}}{y^{3}} + \frac{15x}{y} + \frac{3y}{5x} + \frac{y^{3}}{125x^{3}}=
y
3
125x
3
+
y
15x
+
5x
3y
+
125x
3
y
3
Therefore.,
\red{Expansion \: of \: \Big( \frac{5x}{y} +\frac{y}{5x}\Big)^{3}}Expansionof(
y
5x
+
5x
y
)
3
\green{= \frac{125x^{3}}{y^{3}} + \frac{15x}{y} + \frac{3y}{5x} + \frac{y^{3}}{125x^{3}}}=
y
3
125x
3
+
y
15x
+
5x
3y
+
125x
3
y
3
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