what must to make added to 16x² + 40x + perfect square! ?
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25 must be added in 16x² + 40x to make perfect square
Given:
- 16x² + 40x
To Find:
- What must be added to make perfect square
Solution:
- (a + b)² = a² + 2ab + b²
Step 1:
To make 16x² + 40x as perfect square rewrite the terms
(4x)² + 2(4x)5
Step 2:
Comparing with a² + 2ab + b²
a = 4x , b = 5
Hence b² = 5² = 25 must be added
25 must be added to make perfect square
Additional Info:
16x² + 40x + 25
= (4x)² + 2(4x)5 + 5²
= (4x + 5)²
perfect square
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