Simplify:

$2 x+3 y-4 z-(3 y+5 x-2 z)$

Academic Mathematics NCERT Class 7

Given:$ 2 x + 3 y − 4 z − ( 3 y + 5 x − 2 z )$

To do: Simplify the expression

Solution:

$2 x + 3 y − 4 z − ( 3 y + 5 x − 2 z )$

=$ 2 x + 3 y − 4 z − 3 y - 5 x + 2 z$

= $-3x -2z$

So, $ 2 x + 3 y − 4 z − ( 3 y + 5 x − 2 z ) = -3x -2z$

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

29 Views

Related Articles
Subtract $3 x y+5 y z-7 z x$ from $5 x y-2 y z-2 z x+10 x y z$.
Verify that \( x^{3}+y^{3}+z^{3}-3 x y z=\frac{1}{2}(x+y+z)\left[(x-y)^{2}+(y-z)^{2}+(z-x)^{2}\right] \)
Simplify each of the following expressions:\( (x+y-2 z)^{2}-x^{2}-y^{2}-3 z^{2}+4 x y \)
Verify associativity of addition of rational numbers i.e., $(x + y) + z = x + (y + z)$, when:(i) \( x=\frac{1}{2}, y=\frac{2}{3}, z=-\frac{1}{5} \)(ii) \( x=\frac{-2}{5}, y=\frac{4}{3}, z=\frac{-7}{10} \)(iii) \( x=\frac{-7}{11}, y=\frac{2}{-5}, z=\frac{-3}{22} \)(iv) \( x=-2, y=\frac{3}{5}, z=\frac{-4}{3} \)
Simplify each of the following expressions:\( (x+y+z)^{2}+\left(x+\frac{y}{2}+\frac{z}{3}\right)^{2}-\left(\frac{x}{2}+\frac{y}{3}+\frac{z}{4}\right)^{2} \)
If \( 3^{x}=5^{y}=(75)^{z} \), show that \( z=\frac{x y}{2 x+y} \).
Simplify:$(x^2 + y^2 - z^2)^2 - (x^2 - y^2 + z^2)^2$
Factorise:(i) \( 4 x^{2}+9 y^{2}+16 z^{2}+12 x y-24 y z-16 x z \)(ii) \( 2 x^{2}+y^{2}+8 z^{2}-2 \sqrt{2} x y+4 \sqrt{2} y z-8 x z \)
Find the following products:\( \frac{-8}{27} x y z\left(\frac{3}{2} x y z^{2}-\frac{9}{4} x y^{2} z^{3}\right) \)
Find the following products:\( \frac{-4}{27} x y z\left[\frac{9}{2} x^{2} y z-\frac{3}{4} x y z^{2}\right] \)
Find the product of $(-3 x y z)(\frac{4}{9} x^{2} z)(-\frac{27}{2} x y^{2} z)$ and verify the result for ; $x=2, y=3$ and $z=-1$
If $2^x \times 3^y \times 5^z = 2160$, find $x, y$ and $z$. Hence, compute the value of $3^x \times 2^{-y} \times 5^{-z}$.
If \( x+y+z=0 \), show that \( x^{3}+y^{3}+z^{3}=3 x y z \).
Factorise:\( 4 x^{2}+9 y^{2}+16 z^{2}+12 x y-24 y z-16 x z \)
Find the following products:(i) $(x + 4) (x + 7)$(ii) $(x - 11) (x + 4)$(iii) $(x + 7) (x - 5)$(iv) $(x - 3) (x - 2)$(v) $(y^2 - 4) (y^2 - 3)$(vi) $(x + \frac{4}{3}) (x + \frac{3}{4})$(vii) $(3x + 5) (3x + 11)$(viii) $(2x^2 - 3) (2x^2 + 5)$(ix) $(z^2 + 2) (z^2 - 3)$(x) $(3x - 4y) (2x - 4y)$(xi) $(3x^2 - 4xy) (3x^2 - 3xy)$(xii) $(x + \frac{1}{5}) (x + 5)$(xiii) $(z + \frac{3}{4}) (z + \frac{4}{3})$(xiv) $(x^2 + 4) (x^2 + 9)$(xv) $(y^2 + 12) (y^2 + 6)$(xvi) $(y^2 + \frac{5}{7}) (y^2 - \frac{14}{5})$(xvii) $(p^2 + 16) (p^2 - \frac{1}{4})$

Kickstart Your Career

Get certified by completing the course

Get Started

Advertisements