Question

simplify a) (10-0.1)² b) (100+5)²

Answer 1

hello...
here is your answer...

a)(10-0.1)² . . .[(a-b)² =a² -2ab + b² ]
➡10² - 2(10)(0.1) + (0.1)²
➡100 - 2 + 0.01
➡98.01 $<b><i><u>ans. </b></i></u>$

b) (100+5)². . . . .[(a+b)²=a²+2ab + b² ]
➡(100)² + 2(100)(5) + (5)²
➡10000+1000+25
➡11025 $<b><i><u>ans. </b></i></u>$
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Answer 2

$\huge\bold\color{green}{Hello \: Friend \: !!}$


$\red {\bold {Here \: is \: your \: answer }}$


$\underline\bold {Question : 1}$


$a) \: ( \: 10 \: - \: 0.1 \: )^{2} \\ \\ ( \: a \: - \: b \: )^{2} \: = \: a^{2} \: - \: 2ab \: + \: b^{2} \\ \\ ( \: 10 \: - \: 0.1 \: )^{2} \: = \: 10^{2} \: - \: 2 \: \times \: 10 \: \times \: 0.1 \: + \: 0.1 ^{2} \\ \\ ( \: 10 \: - \: 0.1 \: )^{2} \: = \: 100 \: - \: 2 \: + \: 0.01 \\ \\ ( \: 10 \: - \: 0.1 \: )^{2} \: = \: 100 \: - \: 1.99 \\ \\ ( \: 10 \: - \: 0.1 \: )^{2} \: = \: 98.01$



$\underline\bold {Question : 2}$


$b) \: ( \: 100 \: + \: 5 \: )^{2} \: \\ \\ ( \: a \: + \: b)^{2} \: = \: a^{2} \: + \: 2ab \: + \: b^{2} \\ \\ ( \: 100 \: + \: 5 \: )^{2} \: = \: 100^{2} \: + \: 2 \: \times \: 100 \: \times \: 5 \: + \: 5^{2} \\ \\ ( \: 100 \: + \: 5 \: )^{2} \: = \: 10000 \: + \: 1000 \: + \: 25 \\ \\ ( \: 100 \: + \: 5 \: )^{2} \: = \: 2025$



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