Divide 8-3 -2 -2-2 -3 -2-2 -2 -3 by 4-2 -2 -2-

8(𝑥^3 𝑦^2 𝑧^2+𝑥^2 𝑦^3 𝑧^2+𝑥^2 𝑦^2 𝑧^3)÷4𝑥^2 𝑦^2 𝑧^2 =8(𝑥^3 𝑦^2 𝑧^2+𝑥^2 𝑦^3 𝑧^2+𝑥^2 𝑦^2 𝑧^3)/4𝑥^2 𝑦^2 𝑧^2 =8x^2y^2z^2(x+y+z)/4𝑥^2 𝑦^2 𝑧^2 =2(x+y+z) ...

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Byju's Answer

Standard IX

Mathematics

Factor Theorem

Divide 8𝑥3 �...

Question

Divide $8 (x^{3} y^{2} z^{2} + x^{2} y^{3} z^{2} + x^{2} y^{2} z^{3})$ by $4 x^{2} y^{2} z^{2}$ .

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Solution

$8 (x^{3} y^{2} z^{2} + x^{2} y^{3} z^{2} + x^{2} y^{2} z^{3}) \div 4 x^{2} y^{2} z^{2} = \frac{8 (x^{3} y^{2} z^{2} + x^{2} y^{3} z^{2} + x^{2} y^{2} z^{3})}{4 x^{2} y^{2} z^{2}} = \frac{8 x^{2} y^{2} z^{2} (x + y + z)}{4 x^{2} y^{2} z^{2}} = 2 (x + y + z)$

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Divide 8(x3y2z2+x2y3z2+x2y2z3) by 4x2y2z2.

8(x3y2z2+x2y3z2+x2y2z3)÷4x2y2z2=8(x3y2z2+x2y3z2+x2y2z3)4x2y2z2=8x2y2z2(x+y+z)4x2y2z2=2(x+y+z)

Divide $8 (x^{3} y^{2} z^{2} + x^{2} y^{3} z^{2} + x^{2} y^{2} z^{3})$ by $4 x^{2} y^{2} z^{2}$ .

$8 (x^{3} y^{2} z^{2} + x^{2} y^{3} z^{2} + x^{2} y^{2} z^{3}) \div 4 x^{2} y^{2} z^{2} = \frac{8 (x^{3} y^{2} z^{2} + x^{2} y^{3} z^{2} + x^{2} y^{2} z^{3})}{4 x^{2} y^{2} z^{2}} = \frac{8 x^{2} y^{2} z^{2} (x + y + z)}{4 x^{2} y^{2} z^{2}} = 2 (x + y + z)$