Factor:
2a^2 + 30a + 100

Question

Factor: 
2a^2 + 30a + 100

parthkohli · Answer

A good start is to factor out the 2.

$ \color{Black}{\Rightarrow 2(a^2 + 15a + 50)}$

parthkohli · Answer

$ \color{Black}{\Rightarrow 2(a^2 + 10a + 5a + 50)}$

Can you manage now? Yes?

anonymous · Answer

i got that part, what what's next?

anonymous · Answer

i think its 50

jiteshmeghwal9 · Answer

First breackout 30a such that if we multiply them we get 100a^2 & if we add them we get 30a

anonymous · Answer

2a^2 + 30a + 100 
factor completely
2(a^2 + 15a + 50)
2(a + 10)(a + 5) works as 10a + 5a = 15a & 10*5 = 50

anonymous · Answer

Thank youuu!

jiteshmeghwal9 · Answer

so,$$2a^2+20a+10a+100$$$$2a(a+10)+10(a+10)$$$$(2a+10)(a+10)$$

parthkohli · Answer

Hmm.

anonymous · Answer

wait, which one is right?

parthkohli · Answer

@elitepenguin Please don't $\textbf{answer}$ the questions.

anonymous · Answer

ok

anonymous · Answer

2a^2+30a+100
2(a^2+15a+50)
2(a^2+10a+5a+50)
2(a{a+10}+5{a+10})
2({a+10}{a+5})

anonymous · Answer

basically you have to break the middle term (i.e 15a)into two values in such a way that when u multiply them u get 50 and when you add or minus them you get plus 15
for this question we use 10 and 5 
10*5=50
10+5=+15