Algebraic Identity - Square of Sum of Binomial
Algebraic Identity - Square of Sum of Binomial
The square of sum of two terms or the product of two same sum of terms is known as Square of Sum of Binomial and is popularly expressed in mathematical form
as either . If a and b are two terms, then the sum of binomial is expressed as a + b.
The square of sum of two terms identity is used as a formula in mathematics as.
The product of two same sum of binomials is expanded as sum of squares of the terms and twice the product of both terms. or it is stated as the summation of squares of two terms and two times the product of same terms is the square of sum of them.
Formula
Just like square of a number means multiplying the number with itself , square of a binomial means multiplying the binomial with itself . So,
=
=
=
Illustration: Find the square of (2x+ 3y)
Solution:The square can be obtained by applying the identity where a denotes 2x and b denotes 3y
Replacing a by 2x and b by 3y we get
Illustration: Find using Identity.
Solution:The square can be obtained by applying the identity where a denotes 3x and b denotes 4y
Replacing a by 3x and b by 4y we get
=
Illustration: Evaluate by using Identity.
Solution:The square of 42 can be obtained by expanding 42 as 40 + 2 and then applying the identity where a denotes 40 and b denotes 2
Replacing a by 40 and b by 2 we get
=
=
= 1600 +160 +4 = 1764
Illustration: Evaluate
Solution: The square can be obtained by applying the identity where a denotes x and b denotes 1/x
Evaluate | |||
| Right Option : D | |||
| View Explanation | |||
If 3x+2y=12 and xy=6, find the value of | |||
| Right Option : B | |||
| View Explanation | |||
Find the square of 2x + y. | |||
| Right Option : A | |||
| View Explanation | |||
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