How the (a+b)^2 formula came
Answers
Answered by
1
The
a
plus
b
whole square represents the square of sum of two terms and it can be expanded by multiplying the algebraic expression
a
+
b
with same binomial. Therefore, multiply the algebraic expressions by using multiplication of algebraic expressions.
⟹
(
a
+
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)
2
=
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×
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+
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2
=
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+
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⟹
(
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+
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2
=
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×
a
+
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×
b
+
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+
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b
⟹
(
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+
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)
2
=
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b
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a
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2
Giridhar4152:
thank you
welcome but sorry for that lengthy ans
it's ok
Answered by
0
(x + y)2 is in the form of (a + b)2
Comparing (a + b)2 and (x + y)2, we get
a = x
b = y
Write the formula / expansion for (a + b)2.
(a + b)2 = a2 + 2ab + b2
Substitute x for a and y for b.
(x + y)2 = x2 + 2(x)(y) + y2
(x + y)2 = x2 + 2xy + y2
So, the expansion of (x + y)2 is
x2 + 2xy + y2
Hope this helps you
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