Divide:
Question:

Divide:

(i) 24x2y3 by 3xy

(ii) 36xyz2 by −9xz

(iii) −72x2y2z by −12xyz

(iv) −56mnp2 by 7mnp

Solution:

(i) 24x2y3 by 3xy

$\frac{24 x^{2} y^{3}}{3 x y}$

$\Rightarrow\left(\frac{24}{3}\right)\left(x^{2-1}\right)\left(y^{3-1}\right)$

$\Rightarrow 8 x y^{2}$

Therefore, the quotient is 8xy2.

(ii) 36xyz2 by −9xz

$\frac{36 x y z^{2}}{-9 x z}$

$\Rightarrow\left(\frac{36}{-9}\right)\left(x^{1-1}\right)\left(y^{1-0}\right)\left(z^{2-1}\right)$

$\Rightarrow-4 y z$

Therefore, the quotient is 4yz.

(iii) $-72 x^{2} y^{2} z b y-12 x y z$

$\frac{-72 x^{2} y^{2} z}{-12 x y z}$

$\Rightarrow\left(\frac{-72}{-12}\right)\left(x^{2-1}\right)\left(y^{2-1}\right)\left(z^{1-1}\right)$

$\Rightarrow 6 x y$

Therefore, the quotient is 6xy.

(iv) −56mnp2 by 7mnp

$\frac{-56 m n p^{2}}{7 m n p}$

$\Rightarrow\left(\frac{-56}{7}\right)\left(m^{1-1}\right)\left(n^{1-1}\right)\left(p^{2-1}\right)$

$\Rightarrow-8 p$

Therefore, the quotient is −8p.

 

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