CameraIcon

SearchIcon

MyQuestionIcon

217

You visited us 217 times! Enjoying our articles? Unlock Full Access!

Algebra of Complex Numbers

If 2 x+3 y=13...

Question

If 2x+3y=13 and XY=6, find the value of 8x^3+27y^3 (question 6)

Open in App

Solution

2x +3y = 13-----(1)

xy =6-----(2)

8x³ +27y³ = (2x)³ +(3y)³

= (2x+3y)³ - 32x3y(2x+3y) [using (a+b)³ = a³+b³+3ab(a+b)]

= (13)³- 18 * 6 *13 [ using (1) and (2)]

= 2197 - 1404
=793

Suggest Corrections

thumbs-up

0

Similar questions

2 x + 3 y = 13

x y = 6

, find the value of

8 x^{3} + 27 y^{3}

8 x^{3} + 27 y^{3}

2 x + 3 y = 13

x y = 6

2 x + 3 y = 13

x y = 6

, find the value of

8 x^{3} + 21 y^{3}

.

If $2 x - 3 y$ = 10 and $x y = 16$ ; find the value of $8 x^{3} - 27 y^{3}$

2 x + 3 y = 6 \sqrt{3}

2 x - 3 y = 6

, find the value of

x y

?

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Algebra of Complex Numbers

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Algebra of Complex Numbers

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon