Question

Exercise-12.3 Carry out the following divisions
$1. \: 48 {a}^3 \: \div 6a \\ 2.14 {x}^3 \div 42 {x}^{2} \\ 3.72 {a}^3 {b}^4 {c}^5 \div 8a {b}^2 {c}^3$
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Answer 1

Answer:

$1) \: \: \: 48 {a}^{3} \div 6a \\ \: \: \: \: \frac{48 {a}^{3} }{6a} \\ \: \: \: \: = \frac{8 \times \cancel 6 \times \cancel a \times a \times a}{ \cancel 6 \times \cancel a} \\ \: \: \: \: = \underline{ \underline{ 8 {a}^{2} }} \\ \\ 2) \: \: \: 14 {x}^{3} \div 42 {x}^{2} \\ \: \: \: \: \frac{14 {x}^{3} }{42 {x}^{2} } \\ \: \: \: = \frac{ \cancel{ 14} \times \cancel x \times \cancel x \times x}{3 \times \cancel{ 14} \times \cancel x \times \cancel x} \\ \: \: \: \: = \underline{ \underline{ \frac{x}{3} }} \\ \\ 3) \: \: \: 72 {a}^{3} {b}^{4} {c}^{5} \div 8a {b}^{2} {c}^{3} \\ \: \: \: \: = \frac{72 {a}^{3} {b}^{4} {c}^{5} }{8a {b}^{2} {c}^{3} } \\ \: \: \: \: = \frac{9 \times \cancel 8 \times \cancel a \times {a}^{2} \times \cancel{{b}^{2} } \times {b}^{2} \times \cancel{{c}^{3}} \times {c}^{2} }{ \cancel 8 \times \cancel a \times \cancel{{b}^{2} } \times \cancel{{c}^{3} } } \\ \: \: \: \: = \underline{ \underline{9 {a}^{2} {b}^{2} {c}^{2} }}$