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
Find the square of 2x + y. | |||
| Right Option : A | |||
| View Explanation | |||
Evaluate | |||
| Right Option : B | |||
| View Explanation | |||
Which of the following expressions represents the value of | |||
| Right Option : B | |||
| View Explanation | |||
Students / Parents Reviews [20]
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8thAbhyas institute is one of the best coaching institute in the vicinity of Ambala Cantt area. The teachers of the institute are well experienced and very helpful in solving the problems of the students.The good thing of the institute is that it is providing extra classes for the students who are w...
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10thIn terms of methodology I want to say that institute provides expert guidence and results oriented monitering supplements by requsite study material along with regular tests which help the students to improve their education skills.The techniques of providing education helps the students to asses...
