Question

Evaluate the following using suitable property

Answer 1

$\sf\huge\bold{Answer:}$

Given:

$⇒ (\frac{2}{11} \times \frac{ - 22}{15} ) + ( \frac{ - 22}{15} + \frac{3}{22} )$

To find:

Factorizing using suitable property

Solution:

In distributive property

⇒a(b+c)=ab+bc

but here,According to situation it is the opposite of distributive propertyi.e factoring.

⇒ab+bc=a(b+c)

$⇒( \frac{2}{11} \times \frac{ - 22}{15} ) + ( \frac{ - 22}{15} + \frac{3}{22} )$

$taking \: \frac{ - 22}{15} \: common \: from \: the \: term$

we get,

$⇒\frac{ - 22}{15} ( \frac{2}{11} + \frac{3}{22} )$

Further,on taking LCM and combining terms,

$⇒ \frac{ - 22}{15} ( \frac{4 + 3}{22} ) \\ = \frac{ - 22}{15} ( \frac{7}{22} ) \\ = \frac{ - 7}{15}$