expand the formula
Answers
Answered by
1
Step-by-step explanation:
explain the formula (2a + 3b)²
Expand out the square so it's easier to see, then use the distributive property to arrive at
4
a
2
+
12
a
b
+
9
b
2
Explanation:
Let's first expand this out so that it's easier to see and work with:
(
2
a
+
3
b
)
2
(
2
a
+
3
b
)
(
2
a
+
3
b
)
Now we use the distributive property which says that each term in the first bracket multiplies against each term in the second bracket, like this:
2
a
⋅
2
a
=
4
a
2
2
a
⋅
3
b
=
6
a
b
3
b
⋅
2
a
=
6
a
b
3
b
⋅
3
b
=
9
b
2
And now we add them all up
4
a
2
+
6
a
b
+
6
a
b
+
9
b
2
We can combine the 2
6
a
b
terms to arrive at
4
a
2
+
12
a
b
+
9
b
2
Answered by
1
Step-by-step explanation:
(a+b)²
a² +2ab +b²
(2a)² +(2×2a×3b) +(3b)²
4a²+12ab +9b²
Brainleast answer by Piyush Kumar
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