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Multiplication of Binomials

Algebraic Expressions - Concepts

Like and Unlike Terms

Finding Value of an Expression

Polynomial Expression

Degree of a Term

Degree of a Polynomial

Standard Form For a Polynomial

Addition of Algebraic Expression

Subtraction of Algebraic Expression

Multiplication of Monomials

Multiplication of Binomial with a Monomial

Multiplication of Binomials

Division of Polynomial by a Monomial

Division of Polynomial by another Polynomial Long Division

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Concept Explanation

Multiplication of Binomials

Binomial expression are those expression which have two terms, and the multiplication can be done by multiplying first term with both the terms of the second expression and then multiplying the second term with both the terms of the second expression. Consider two binomials. say (a+b) and (c+d). and by using the distributive property of multiplication of literals over their addition, we have

$large ( a + b ) times ( c + d ) = a times ( c + d ) + b times ( c + d )$

$large = ( a times c;+; a;times d) +(b ;times c ;+;b ;times d )$

$large = ac;+;ad ;+bc ;+bd$

Illustration: Multiply (3x+2y) and (5x + 3y)

Solution: The multiplication can be done as follows

$(3x ;+;2y) times (5x;+;3y)$

$= 3x times (5x ;+;3y) + 2y; times ;(5x;+;3y)$

$= (3x;times;5x ;+;3x;times 3y ) ;+;(2y;times 5x;+;2y;times 3y)$

$= (15x^{2};+;9xy);+;(10xy;+;6y^{2})$

$= 15x^{2};+;9xy;+10xy;+;6y^{2}$

$= 15x^{2};+;19xy;+;6y^{2}$

Illustration: Multiply (2x + 3y) and ( 4x - 5y)

Solution: The multiplication can be done as follows

$(2x;+;3y);times;(4x;-;5y)$

$= 2x;times (4x;-;5y);+;3y;times;(4x;-;5y)$

$= (2x;times;4x;-;2x;times;5y);+;(3y;times;4x;-;3y;times;5y)$

$= (8x^{2};-;10xy);+;(12xy;-;15y^{2})$

$= 8x^{2};-;10xy;+;12xy;-;15y^{2}$

$= 8x^{2};+;2xy;-;15y^{2}$

$= 8x^{2};-;10xy;+;12xy;-;15y^{2}$

Sample Questions

(More Questions for each concept available in Login)

Question : 1

Expand: (2x-3)(x-1)
A. $large 2x^2-x-3$	B. $large 2x^2-x+3$	C. $large 2x^2-5x-3$	D. $large 2x^2-5x+3$
Right Option : D
View Explanation

Question : 2

Find the product of (a - b) and ( a - b)
A. $a^2 +2ab+b^2$		B. $a^2+2ab+ab-b^2$
C. $a^2-2ab+b^2$		D. $a^2+ab-ab+b^2$
Right Option : C
View Explanation

Question : 3

Multiply: $(2x-3y^2)$ $(2x^2+3y^2)$
A. $4x^3+6xy^2-6x^2y^2-9y^3$	B. $4x^3+6xy^2-6x^2y^2-9y^4$	C. $4x^3+6xy^2-6x^2y^2-6y^3$	D. None of these
Right Option : B
View Explanation

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Direct and Inverse Variation II

Linear Equations in One Variable II

Linear Equations in One Variable I

Cube and Cube Roots

Square and Square Root II

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Exponents and Power I

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Direct and Inverse Variation I

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Algebraic Expressions

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Multiplication of Binomials

Multiplication of Binomials

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Students / Parents Reviews [10]

Eshan Arora

Om Umang

Barkha Arora

Archit Segal

Yatharthi Sharma

Cheshta

Hiya Gupta

Manish Kumar

Ayan Ghosh

Shreya Shrivastava

Multiply: $(2x-3y^2)$ $(2x^2+3y^2)$