CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Addition and Subtraction of Algebraic Expression

Subtract: 3x...

Question

Subtract:
$3 x (x - y - z) + 3 y (x - y + z) + 3 z (x + y - z)$ from $3 (x + y) (x - y) + 3 z (2 y + z)$

Open in App

Solution

To find: $3 x (x - y - z) + 3 y (x - y + z) + 3 z (x + y - z) - (3 (x + y) (x - y) + 3 z (2 y + z))$
$= 3 x^{2} - 3 x y - 3 x z + 3 x y - 3 y^{2} + 3 y z + 3 z x + 3 y z - 3 z^{2} - (3 x^{2} - 3 y^{2} + 6 y z + 3 z^{2})$
$= 3 x^{2} - 3 x^{2} - 3 x y + 3 x y - 3 x z + 3 x z - 3 y^{2} + 3 y^{2} + 3 y z + 3 y z - 6 y z - 3 z^{2} - 3 z^{2}$
$= - 6 z^{2}$

Suggest Corrections

thumbs-up

2

Similar questions

Q. State True or False.

27 x^{3} + y^{3} + z^{3} - 9 x y z

= (3 x + y + z) [(9 x^{2} + y^{2} + z^{2} - 3 x y - y z - 3 z x)]

Q. Show that
(1)

{(x + y + z)}^{3} > 27 (y + z - x) (z + x - y) (x + y - z)

x y z > (y + z - x) (z + x - y) (x + y - z)

Q. Question 4(ii)
Subtract 3 xy + 5 yz - 7 zx from 5 xy - 2 yz - 2 zx +10 xyz

x, y, z, w

[\begin{matrix} x + y & x - y y + z + w & 2 w - z \end{matrix}] = [\begin{matrix} 2 & - 1 9 & 5 \end{matrix}]

Q. Solve the following equations :

x (x + y + z) = a^{2}, y (x + y + z) = b^{2}, z (x + y + z) = c^{2} .

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Addition and Subtraction of Algebraic Expression

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Addition and Subtraction of Algebraic Expression

Standard VIII Mathematics

Join BYJU'S Learning Program

CrossIcon