Question

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Answer 1

Answer:

Divide :

${\sf{(a) \:27{x}^{2}y \: by \: xy}}$

$\dashrightarrow\small{\sf{ \:27{x}^{2}y \: by \: xy}}$

$\dashrightarrow\small{\sf{\dfrac{27{x}^{2}y}{xy}}}$

$\dashrightarrow\small{\sf{\dfrac{27 \times x \times x \times y}{x \times y}}}$

$\dashrightarrow \small{\sf{\dfrac{27 \times \cancel{x} \times x \times \cancel{y}}{\cancel{x} \times \cancel{y}}}}$

$\dashrightarrow\small{\sf{27 \times x }}$

$\dashrightarrow\small{\sf{27x}}$

$\dashrightarrow{\underline{\boxed{\sf{\red{Answer = 27x}}}}}$

∴ The answer is 27x.

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$\sf{(b) \: -14x{y}^{2} \: by \: -7}$

$\longrightarrow\small{\sf{ -14x{y}^{2} \: by \: -7}}$

$\longrightarrow\small{\sf{\dfrac{ -14x{y}^{2}}{ - 7}}}$

$\longrightarrow\small{\sf{\dfrac{ -14 \times x \times y \times y}{ - 7}}}$

$\longrightarrow\small{\sf{\dfrac{\cancel{ -14}\times x \times y \times y}{\cancel{ - 7}}}}$

$\longrightarrow\small{\sf{2 \times x \times y \times y}}$

$\longrightarrow\small{\sf{2x{y}^{2}}}$

$\longrightarrow{\underline{\boxed{\sf{\pink{Answer = 2x{y}^{2}}}}}}$

∴ The answer is 2xy².

$\sf{(c) \: 30a{b}^{2}c \: by \: abc}$

$\longmapsto\small{\sf{30a{b}^{2}c \: by \: abc}}$

$\longmapsto\small{\sf{\dfrac{30a{b}^{2}c }{abc} }}$

$\longmapsto\small{\sf{\dfrac{30 \times a \times b \times b \times c }{a \times b \times c}}}$

$\longmapsto\small{\sf{\dfrac{30 \times \cancel{a}\times \cancel{b}\times b \times \cancel{c}}{\cancel{a}\times \cancel{b}\times \cancel{c}}}}$

$\longmapsto\small{\sf{30 \times b}}$

$\longmapsto\small{\sf{30b}}$

$\longrightarrow{\underline{\boxed{\sf{\blue{Answer = 30b}}}}}$

∴ The answer is 30b.

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$\sf{(d) \: -22{a}^{2}{b}^{2}c \: by \: 11ab}$

$\leadsto\small{\sf{ -22{a}^{2}{b}^{2}c \: by \: 11ab}}$

$\leadsto\small{\sf{\dfrac{-22{a}^{2}{b}^{2}c}{11ab}}}$

$\leadsto\small{\sf{\dfrac{-22 \times a \times a \times b \times b \times c}{11 \times a \times b}}}$

$\leadsto\small{\sf{\dfrac{ \cancel{-22} \times a \times \cancel{a} \times \cancel{b} \times b \times c}{\cancel{11} \times \cancel{a} \times \cancel{b}}}}$

$\leadsto\small{ \sf{ - 2 \times a \times b \times c }}$

$\leadsto\small{ \sf{ - 2abc }}$

$\leadsto{\underline{\boxed{\sf{\purple{ Answer = - 2abc }}}}}$

∴ The answer is -2abc.

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$\sf{(e) \: + 5 {x}^{2}z \: by \: 5z}$

$\twoheadrightarrow\small{\sf{+ 5 {x}^{2}z \: by \: 5z}}$

$\twoheadrightarrow\small{\sf{\dfrac{ + 5 {x}^{2}z}{5z}}}$

$\twoheadrightarrow\small{\sf{\dfrac{5 \times x \times x \times z}{5 \times z}}}$

$\twoheadrightarrow\small{\sf{\dfrac{\cancel{5} \times x \times x \times \cancel{z}}{ \cancel{5} \times \cancel{z}}}}$

$\twoheadrightarrow\small{\sf{x \times x}}$

$\twoheadrightarrow\small{\sf{{x}^{2}}}$

$\twoheadrightarrow{\underline{\boxed{\sf{\orange{ Answer = {x}^{2} }}}}}$

∴ The answer is x².

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$\sf{(f) \: 49{a}^{2}b \:by \: 7}$

$: \implies{\small{\sf{ 49{a}^{2}b \:by \: 7}}}$

$: \implies{\small{\sf{\dfrac{49{a}^{2}b}{7}}}}$

$: \implies{\small{\sf{\dfrac{49 \times a \times a \times b}{7}}}}$

$:\implies{\small{\sf{\dfrac{\cancel{49} \times a \times a \times b}{\cancel{7}}}}}$

$:\implies{\small{\sf{7\times a \times a \times b}}}$

$:\implies{\small{\sf{7{a}^{2}b}}}$

$:\implies{\underline{\boxed{\sf{\green{ Answer = 7{a}^{2}b}}}}}$

∴ The answer is 7a²b.

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Answer 2

Step-by-step explanation:

.

$\implies{\small{\sf{7\times a \times a \times b}}}:</p><p>$

$\implies{\small{\sf{7{a}^{2}b}}}$

$\implies{\underline{\boxed{\sf{\green{ Answer = 7{a}^{2}b}}}}}$

∴ The answer is 7a²b.

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