From the sum of $2 y^{2} + 3 y z, - y^{2} - y z - z^{2}$ and $y z + 2 z^{2}$ , subtract the sum of $3 y^{2} - z^{2}$ and $- y^{2} + y z + z^{2}$

Open in App

Solution

Sum of first three algebraic expressions is,
$\Rightarrow y^{2} + 3 y z + z^{2}$ ...... (1)

Sum of last two algebraic expressions is,
$\Rightarrow 2 y^{2} + y z$ ...... (2)

Now, subtract equation (2) from equation (1).
$\Rightarrow - y^{2} + 2 y z + z^{2}$

Hence, this is the required result.

Suggest Corrections

Similar questions

{2 y}^{2} + 3 y z, - y^{2} y z - z^{2}

y z + {2 z}^{2}

3 y^{2} + z^{2}

y^{2} + y z + z^{2} .

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

x^{2} + x y + x z = 135, y^{2} + y z + x y = 351

z^{2} + x z + y z = 243

x^{2} + y^{2} + z^{2} = ?

(y^2+3yz+z^2)-(2y^2+yz)

Join BYJU'S Learning Program