Answer:
The factors are : \((4x+5)(4x+5)\)
Step-by-step explanation:
The given expression is :
\(16x^{2} +40x+25\)
Re writing the equation :
\(4^{2}x^{2} +40x+5^{2}\)
Applying the rule \(a^{x} b^{x} =(ab)^{x}\)
\((4x)^{2} +40x+5^{2}\)
Re write 40x as 2.4x.5
\((4x)^{2} + 2*4x*5+5^{2}\)
Applying perfect square formula:
\((a+b)^{2}=a^{2} +2ab+b^{2}\)
where a = 4x and b = 5
So, the factors become : \((4x+5)^{2}\)
or \((4x+5)(4x+5)\)
