Question

- 5. Simplify: 3.85 x 3.85 - 2.15 x 2.15 /3.85 - 2.15 ​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Given: The equation is$3.85 \times 3.85 - 2.15 \times 2.15 /3.85 - 2.15$

We have to simplify the above equation.

By using the Bodmas rule, we are solving the above equation.

As we know that the Bodmas rule is used to remember the order of operations to be followed while solving expressions in mathematics.

Where,

$\begin{array}{l}\mathrm{B}=\text{brackets}\\\mathrm{O}=\text { order of powers or rules } \\\mathrm{D}=\text { division } \\\mathrm{M}=\text { multiplication } \\\mathrm{A}=\text { addition } \\\mathrm{S}=\text { subtraction }\end{array}$

We are solving in the following way:

We have,

$3.85 \times 3.85 - 2.15 \times 2.15 /3.85 - 2.15$

$=>\frac{(3.85)^{2} -(2.15)^{2} }{3.85-2.15}$

As we know that$a^{2} -b^{2} =(a+b)(a-b)$

So, by using the above concept:

$=>\frac{(3.85)^{2} -(2.15)^{2} }{3.85-2.15}$

$=> \frac{(3.85+2.15)(3.85-2.15)}{1.7} \\\\=>\frac{(6)(1.7)}{1.7} \\\\=>6$

Hence, the solution of the above equation is$6$.