Math, asked by Anonymous, 10 hours ago

what must to make added to 16x² + 40x + perfect square! ?​

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Answers

Answered by oODivineGirlOo
3

REFFER TO THE ATTACHMENT.

PAR KYU KYA HUA?

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Answered by amitnrw
0

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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