(a+2) (b+2)=ab+2(a+b)+
(a+2)(b+2)=ab+2(a+b)+2+ab=2ab
( a + 2 ) ( b + 2 ) = b ∙ a + b ∙ 2 + 2 ∙ a + 2 ∙ 2 =
a b + 2 b + 2 a + 4 = a b + 2 ( a b ) + 4
My typo in last step.
a b + 2 b + 2 a + 4
is not
a b + 2 ( a b ) + 4
( a + 2 ) ( b + 2 ) = b ∙ a + b ∙ 2 + 2 ∙ a + 2 ∙ 2 =
a b + 2 b + 2 a + 4 = a b + 2 ( a + b ) + 4
To expand the expression (a+2)(b+2), you can use the distributive property. The distributive property states that for any real numbers a, b, and c, the product of a sum and a number is equal to the sum of the individual products.
In this case, we have:
(a+2)(b+2) = a(b+2) + 2(b+2)
Now, we can use the distributive property to simplify further:
= ab + 2a + 2b + 4
So, the expanded form of the expression (a+2)(b+2) is ab + 2a + 2b + 4.