Respuesta :
25w²=(5w)², 36=6², 60w=2*5w*6
Recall the formula (a+b)²=a²+2ab+b²
in this case, 25w² + 60w + 36=(5w+6)²
Recall the formula (a+b)²=a²+2ab+b²
in this case, 25w² + 60w + 36=(5w+6)²
Solution:
→25 w² + 60 w + 36
You can do it by two methods, either by splitting the middle term that is term containing w
Or, directly converting it into form of perfect square.
1. Splitting the middle term
=25 w² + 30 w + 30 w + 36
= 5 w× ( 5 w + 6) +6× ( 5 w + 6)
= ( 5 w + 6)(5 w + 6)
= (5 w + 6)²
2. By perfect square method
25 w² + 60 w + 36
= (5 w)² + 2 × (5 w)× (6) + (6)²
= (5 w + 6)²→→→using the Identity, (a+b)²= a²+ b²+ 2 a b
