Question

$\huge\bold\red{{HELP}}$​

Answer 1

Solution:

2nd row:

• a = 12
• b = m - 1/12

To find: a*b which is nothing but a × b

$\sf{a \times b \: = \: 12 \bigg( m + \dfrac{1}{12} \bigg) = 12m - \dfrac{12}{12} }$

$\therefore \boxed{ \sf{(a \times b) = 12m - \dfrac{12}{12} }}$

For Simplified form, just write 12/12 as 1.

$\therefore \boxed{ \sf{Simplified \: form = 12m - 1}}$

3rd row:

$\sf{(a \times b) = 3x \bigg( \dfrac{4}{x} + 4 \bigg) = \frac{12x}{x} + 12x}$

For simplified form, cancel x in numerator and denominator and take 12 as a common factor.

$\sf{Simplified \: form = 12 + 12x = 12(1 + x)}$

$\therefore \boxed{\sf{Simplified \: \: form = 12(x + 1)}}$

4th row:

$\sf{(a \times b) = 10a \bigg( \dfrac{1}{3a} + \frac{3}{5a} \bigg) }$

$\implies \sf{(a \times b) = 10a \bigg( \dfrac{5 + 9}{15a} \bigg) }$

$\implies \sf{(a \times b) = 10a \bigg( \dfrac{14}{15a} \bigg)}$

$\implies \sf{(a \times b) = \dfrac{140a}{15a} }$

Simplified form: Divide by 5a in both numerator and denominator.

$\therefore \boxed{ \sf{Simplified \: \: form = \frac{28}{3} }}$

Answer 2

SEE BELOW

$\huge\bold\blue {Solution : }$

2nd row :-

• $a \times b = 12(m + \frac{1}{12} ) = 12m - \frac{12}{12}$

Simplified form:-

• $12m - 1$

3rd row :-

• $a \times b = 3x( \frac{4}{x} + 4) = \frac{12x}{x} + 12x \\ = 12 + 12x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Simplified from :-

• $12(x + 1)$

4th row :-

• $a \times b = 10a( \frac{1}{3a} + \frac{3}{5a} ) \\ = 10a( \frac{5 + 9}{15a}) = \frac{140a}{15a}$

simplified from :-

• $\frac{140a}{15a} = \frac{140}{15} = \frac{28}{3}$

$\huge\bold\green{Thank \: You}$