Algebraic Identity -Cube of Sum of Binomial


 
 
Concept Explanation
 

Algebraic Identity -Cube of Sum of Binomial

Algebriac Identity- Cube of Sum of Binomial:

large dpi{100} large (a+b)^3=a^3+3a^2b+3ab^2+b^3

                                or

large dpi{100} large (a+b)^3=a^3+3ab(a+b)+b^3

For Example: Simplify large (3x+2y)^3

large (3x+2y)^3= (3x)^3+(2y)^3+3(3x)(2y)(3x+2y)

                       large = 27x^3+8y^3+ 18xy(3x+2y)

                      large = 27x^3+8y^3+ 54x^2y+36xy^2

Sample Questions
(More Questions for each concept available in Login)
Question : 1

Simplify : (5m + 2n)3 - (5m – 2n)3

Right Option : B
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Explanation
Question : 2

Which of the following is equivalent to the expression large x^3+27+9x^2+27x

Right Option : A
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Explanation
Question : 3

Solve the equation:

(3x+4y)^{3}

Right Option : A
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Explanation
 
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