x + y = 5, x + 4y = 4 what is the Value 4x2 + 20xy + 16y2?

A 60

B 40

C 20

D 80

Solution

Correct Answer: Option D

দেওয়া আছে,
x + y = 5
x + 4y = 4

∴ 4x2 + 20xy + 16y2
= 4x2 + 4xy + 16xy + 16y2
= 4x(x + y) + 16y(x + y)
= (x + y)(4x + 16y)
= 4(x + y)(x + 4y)
= 4.5.4
= 80

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