Math, asked by ammu115, 1 year ago

0.64*0.64+0.64*0.72+0.36*0.36

Plz explain and hurry plz....

Answers

Answered by Anonymous
12
Hii!!

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0.64*0.64+0.64*0.72+0.36*0.36

= (0.64*0.64)+(0.64*0.36*2)+(0.36*0.36)

= (0.64)^2 + 2(0.64)(0.36) + (0.36)^2

Since a^2 + 2ab + b^2 = (a+b) ^2

= (0.64)^2 + 2(0.64)(0.36) + (0.36)^2

= (0.64 + 0.36)^2

= 1^2

= 1

Hence 1 is correct answer.

Hope it's helpful to u.

ammu115: Actually I had the answer I just didn't know how to do it and you have helped me a lot. Thanks
Anonymous: oh.. it's my pleasure
Answered by pulakmath007
0

0.64 × 0.64 + 0.64 × 0.72 + 0.36 × 0.36 = 1

Given :

0.64 × 0.64 + 0.64 × 0.72 + 0.36 × 0.36

To find :

The value of the expression

Formula :

(a + b)² = a² + 2ab + b²

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

0.64 × 0.64 + 0.64 × 0.72 + 0.36 × 0.36

Step 2 of 2 :

Find the value of the expression

We use the formula

(a + b)² = a² + 2ab + b²

Thus we get

0.64 × 0.64 + 0.64 × 0.72 + 0.36 × 0.36

= 0.64 × 0.64 + 2 × 0.64 × 0.36 + 0.36 × 0.36

= (0.64)² + 2 × 0.64 × 0.36 + (0.36)²

= (0.64 + 0.36)²

= 1²

= 1

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