Question

2[a(a + b) + b(a + b)]

Answer 1

can anyone help me

Answer 2

yes tell me, do u want to simplify this equation ?
If yes then it comes out to be
\[2(a+b)^2\]
It can be also written as
\[2a^2+4ab+2b^2\]

Answer 3

can u show me in steps please

Answer 4

where did u get the 4 from

Answer 5

ok wait

Answer 6

We have, 2[a(a + b) + b(a + b)]
Let 2 be outside the square brackets and we will solve the part inside the square brackets,
\[2[a^2+ab+ab+b^2]\]
Now, solving further
\[=2 [ a^2 + 2ab + b^2 ]\]
\[=2(a+b)^2\] (because we are aware about this algebraic identity \[(a+b)^2=a^2+2ab+b^2\] )

Answer 7

2[a(a + b) + b(a + b)] from here you can factor out a+b, this becomes
=2(a+b)[a+b] and just like Sid has said it became
=2(a+b)^2 di you see it A candi?

Answer 8

so what would the answer b

Answer 9

is there any answer selection?

Answer 10

no solve till i cant brake it dwn anymore

Answer 11

wher does the 4 come from

Answer 12

Ok I'll tell you,
When you solve this
\[2(a^2+ab+ab+b^2)\]\[=2(a^2+2ab+b^2)\]\[=2(a^2)+2(2ab)+2(b^2)\]\\[=2a^2+4ab+2b^2\]

Is it clear now that where did 4 come from ?

Answer 13

the 4 came from 2(2ab)=4ab

Answer 14

Yes you are right