0.64*0.64+0.64*0.72+0.36*0.36
Plz explain and hurry plz....
Answers
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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.
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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