By solving quadratic equation using factorization, \(16x^{2}+40x+25\) = \((4x+5)^{2}\).
What is factorization?
The factorization formula factorizes a number quickly into smaller numbers or factors of the number. A factor is a number that divides the given number without any remainder.
Given quadratic equation
\(16x^{2}+40x+25\)
= \(16x^{2}+20x+20x+25\)
= 4x(4x + 5) + 5(4x + 5)
= (4x + 5)(4x + 5)
= \((4x+5)^{2}\)
Hence, by solving quadratic equation using factorization, \(16x^{2}+40x+25\) = \((4x+5)^{2}\).
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