Question

(x+2y)^3 + ( 2x+y)^3
please help.​

Answer 1

Answer:

Question

$(x + 2y) {}^{3} + (2x + y) {}^{3}$

SOLUTION

First expand the term by using this identity

(a+b)³= a³ + b³ + 3ab(a+b)

(x+2y)³

=> x³ + (2y)³ + 3×x×2y(x+2y)

=> x³ + 4y³ + 6xy (x+2y)

=> x³ + 4y³ + 6x²y+12xy²

(2x+y)³

=> (2x)³+( y)³ + 3×2x×y(2x+y)

=> 4x³ + y³ + 6xy(2x+y)

=> 4x³ + y³ +12x²y + 6xy²

Now add the term

A/q,

(x+2y)³+(2x+y)³

=> (x³+4y³ + 6x²y+12xy²)+(4x³+y³+12x²y+6xy²)

=> 5x³+5y³+18x²y+18xy²

Hope it helps you

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Answer 2

Answer:

$\huge\purple{★}\pink{Hello!}\purple{★}$

❥ Question

(x + 2y) {}^{3} + (2x + y) {}^{3}(x+2y)

3

+(2x+y)

3

SOLUTION

First expand the term by using this identity

(a+b)³= a³ + b³ + 3ab(a+b)

(x+2y)³

=> x³ + (2y)³ + 3×x×2y(x+2y)

=> x³ + 4y³ + 6xy (x+2y)

=> x³ + 4y³ + 6x²y+12xy²

(2x+y)³

=> (2x)³+( y)³ + 3×2x×y(2x+y)

=> 4x³ + y³ + 6xy(2x+y)

=> 4x³ + y³ +12x²y + 6xy²

Now add the term

A/q,

(x+2y)³+(2x+y)³

=> (x³+4y³ + 6x²y+12xy²)+(4x³+y³+12x²y+6xy²)

=> 5x³+5y³+18x²y+18xy²

Hope it helps you

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