The value of 2 x -3 y 3 isA- 8 x3-27 y3-36 x2 y-54 x y2B- 8 x3-27 y2-36 x2 y-54 x y2- 8 x3-27 y3-36 x3 y-54 x y2D- 8 x 3-27 y 3-36 x 2 y -54 xy 3

The correct option is A 8x^3 + 27y^3 +36x^2y + 54xy^2 We know the identity, (a+b)^3 nbsp;= a^3 nbsp;+ b^3 nbsp;+ 3a^2b nbsp;+ 3ab^2 (2x+3y)^3 nbsp;= ...

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Byju's Answer

Standard VIII

Mathematics

Expansion of (x+y)^3

The value of ...

Question

The value of $(2 x + 3 y)^{3}$ is __________.

$8 x^{3}$ + $27 y^{3}$ + $36 x^{2} y$ + $54 x y^{2}$

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$8 x^{3}$ + $27 y^{2}$ + $36 x^{2} y$ + $54 x y^{2}$

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$8 x^{3}$ + $27 y^{3}$ + $36 x^{3} y$ + $54 x y^{2}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$8 x^{3}$ + $27 y^{3}$ + $36 x^{2} y$ + $54 x y^{3}$

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Solution

The correct option is A
$8 x^{3}$ + $27 y^{3}$ + $36 x^{2} y$ + $54 x y^{2}$

We know the identity,
$(a + b)^{3} = a^{3} + b^{3} + 3 a^{2} b + 3 a b^{2}$

$(2 x + 3 y)^{3} = (2 x)^{3} + (3 y)^{3} + 3 (2 x)^{2} \times (3 y) + 3 \times (2 x) \times (3 y)^{2}$

= $8 x^{3} + 27 y^{3} + 36 x^{2} y + 54 x y^{2}$

Suggest Corrections

The value of (2x+3y)3 is __________.

The correct option is A 8x3 + 27y3 +36x2y + 54xy2 We know the identity, (a+b)3=a3+b3+3a2b+3ab2 (2x+3y)3=(2x)3+(3y)3+3(2x)2×(3y)+3×(2x)×(3y)2 = 8x3+27y3+36x2y+54xy2

The value of $(2 x + 3 y)^{3}$ is __________.