Question

simplify (3x+2y)^3+(3x-2y)^3​

Answer 1

Answer:

$\huge{\boxed{\rm{\red{answer=54x³+72xy²}}}}$

Step-by-step explanation:

Given expression is (3x+2y)³+(3x-2y)³

It is in the form of (a+b)³+(a-b)³

Here a=3x and b=2y

We know that (a+b)³=a³+3a²b+3ab²+b³

(a-b)²=a³-3a²b+3ab²-b²

=>[(3x)³+3(3x)²(2y)+3(3x)(2y)²+(2y)³]+[(3x)³-3(3x)²(2y)+3(3x)(2y)²-(2y)³]

=>27x³+54x²y+36xy²+8y³+27x³-54x²y+36xy²-8y³

=>(27x³+27x³)+(36xy²+36xy²)+(54x²y-54x²y)+(8y³-8y³)

=>54x³+72xy²+0+0

=>54x³+72xy²