Divide the given polynomial by the given monomial-8-3 -2 -2-2 -3 -2-2 -2 -3 -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^3 𝑦^2 𝑧^24𝑥^2 𝑦^2 𝑧^2+8𝑥^2 𝑦^3 𝑧^24𝑥^2 𝑦^2 𝑧^2+8 ...

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Byju's Answer

Standard VIII

Mathematics

Factors of Algebraic Expressions

Divide the gi...

Question

Divide the given polynomial by the given monomial.
$8 (x^{3} y^{2} z^{2} + x^{2} y^{3} z^{2} + x^{2} y^{2} z^{3}) \div 4 x^{2} y^{2} z^{2}$

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Solution

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

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8 (x^{3} y^{2} z^{2} + x^{2} y^{3} z^{2} + x^{2} y^{2} z^{3})

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Divide the given polynomial by the given monomial. 8(x3y2z2+x2y3z2+x2y2z3)÷4x2y2z2

8(x3y2z2+x2y3z2+x2y2z3)÷4x2y2z2=8(x3y2z2+x2y3z2+x2y2z3)4x2y2z2=8x3y2z24x2y2z2+8x2y3z24x2y2z2+8x2y2z34x2y2z2=2x+2y+2z

Divide the given polynomial by the given monomial.
$8 (x^{3} y^{2} z^{2} + x^{2} y^{3} z^{2} + x^{2} y^{2} z^{3}) \div 4 x^{2} y^{2} z^{2}$