Question

simplify. 2.3*2.3-0.3*0.3/2.3 *2.3-2*2.3*0.3+0.3*0.3

Answer 1

please mark me as brainliest

Answer 2

Answer:

$\frac{2.3\times 2.3-0.3\times 0.3}{2.3\times 2.3-2\times 2.3\times 0.3+0.3\times 0.3}=1.3$

Step-by-step explanation:

Given : Expression $\frac{2.3\times 2.3-0.3\times 0.3}{2.3\times 2.3-2\times 2.3\times 0.3+0.3\times 0.3}$

To find : Simplify the expression ?

Solution :

Expression $\frac{2.3\times 2.3-0.3\times 0.3}{2.3\times 2.3-2\times 2.3\times 0.3+0.3\times 0.3}$

We can write it as,

$=\frac{2.3^2-0.3^2}{2.3^2-2\times 2.3\times 0.3+0.3^2}$

Applying property,

$a^2-b^2=(a+b)(a-b)$

$a^2-2ab+b^2=(a-b)^2$

$=\frac{(2.3-0.3)(2.3+0.3)}{(2.3-0.3)^2}$

$=\frac{(2)(2.6)}{(2)^2}$

$=\frac{5.2}{4}$

$=1.3$

Therefore, $\frac{2.3\times 2.3-0.3\times 0.3}{2.3\times 2.3-2\times 2.3\times 0.3+0.3\times 0.3}=1.3$