Question

Evaluate using identities 3.3 x 3.3 – 1.7 x 1.7 / 1.6​

Answer 1

Step-by-step explanation:

[(3.3)^2 - (1.7)^2]/1.6

[(3.3+1.7)(3.3-1.7)]/1.6

[5×1.6]/1.6

Ans- 5

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Answer 2

Given: The equation is$3.3 \times 3.3 - 1.7 \times 1.7 / 1.6$

We have to solve the above equation.

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

By using the above identity, we are solving the above equation.

we are solving in the following way:

We have,

The equation is$3.3 \times 3.3 - 1.7 \times 1.7 / 1.6$

Here,

$a=3.3\\b=1.7\\a-b=>3.3-1.7=1.6$

We know that,

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

We can write the above equation as:

$\frac{a^{2} -b^{2} }{a-b} =a+b$

We have,

$3.3 \times 3.3 - 1.7 \times 1.7 / 1.6$

So,

$3.3^{2} \times1.7^{2} /3.3-1.7=(a+b)$

$=>\frac{3.3^{2} -1.7^{2} }{3.3-1.7} =3.3+1.7\\\\=>\frac{3.3^{2} -1.7^{2} }{3.3-1.7}=5$

Hence, the value of$3.3 \times 3.3 - 1.7 \times 1.7 / 1.6$ is$5$.