Question

Hello,
Please give me the answer of these two question and pls correct ​

Answer 1

Step-by-step explanation:

i know the first one the answer is 32/27

Answer 2

Answer:

8. Find the reciprocal of $\rm \left( \frac{1}{3} \right) ^{ - 2} \div \left( \frac{1}{2} \right) ^{ - 3}$

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$\mathbb\color{orangered}{ \tiny A \scriptsize \: N \small \:S \large \: W \Large \:E \huge \: R}$

$\\ \rm\implies \left( \frac{1}{3} \right) ^{ - 2} \div \left( \frac{1}{2} \right) ^{ - 3}$

$\\ \rm\implies(3) ^{ 2} \div (2) {}^{3}$

$\\ \rm\implies9 \div 8$

$\\ \rm\implies \frac{9}{8}$

$\\ \boxed{\green { \rm \text{Reciprocal \: of } \: \frac{9}{8} \: \: \: is \: \: \: \frac{8}{9} .}}$

9.Resolve into factors $\rm x^{2}+12x+36$

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$\mathbb\red{ \tiny A \scriptsize \: N \small \:S \large \: W \Large \:E \huge \: R}$

$\\ \rm\[ x^{2}+12 x+36=x^{2}+2 \times x \times 6+6^{2} \]$

Hence, a=x and b=6.

Using indentity

$\rm \: a^{2}+2 a b+b^{2}=(a+b)^{2} ,$

we have,

$\rm \: x^{2}+2 \times x \times 6+6^{2}=(x+6)^{2}= \boxed{\color{violet} \rm(x+6)(x+6) }$