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Multiplication of Binomials

Introduction to Algebra II - Concepts

Finding Value of an Expression

Addition of Algebraic Expression

Subtraction of Algebraic Expression

Multiplication of Monomials

Multiplication of Binomials

Multiplication of Binomial with a Monomial

Division of Polynomial by a Monomial

Class - Sainik School Entrance 6th Subjects

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

Simplify: $(1.2a-3.5b)(15a^2+10b^2)$
A. $18a^3+12ab^2-52.5a^2b-35b^3$	B. $18a^3+12ab^2-52.5a^2b-45b^2$	C. $18a^2+12ab^3-52.5a^2b-35b^3$	D. None of these
Right Option : A
View Explanation

Question : 2

Find the product of $large (2x+4y)(3x-2y)$
A. $x^2-8xy-8y^2$		B. $8x^2-xy-8y^2$
C. $6x^2+8xy-8y^2$		D. $8x^2+8y^2-8xy+8$
Right Option : C
View Explanation

Question : 3

Multiply: (2.5x +1.2y) by (0.6x - 0.5y)
A. $1.5x^2-0.53xy-0.6y^4$	B. $2.5x^2-0.53xy-0.6y^2$	C. $1.5x^2-0.53xy-0.6y^2$	D. None of these
Right Option : C
View Explanation

Video Link - Have a look !!!

Language - English

Chapters

Factors And Multiples I

Square and Square Root

Surface Area and Volume

Basic Geometric Concepts

Factors And Multiples II

Factors And Multiples III

Perimeter and Area I

Natural Numbers II

Natural Numbers I

Ratio, Proportion and Unitary Method II

Ratio, Proportion and Unitary Method I

Percentages and Its Application II

Percentages and Its Application I

Introduction to Algebra II

Introduction to Algebra I

Linear Equations

Perimeter and Area II

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Central Government Service

ISO - Science Olympiads

State Government Services

Banking And Insurance

Railways & Metro Services

MBA Entrance

Law Entrance

English Proficiency

Reasoning Proficiency

Computer Proficiency

Navodaya Entrance 6th & 9th

Sainik School Entrance

Andhra Bank

Class / Course

Sainik School Entrance 6th

Sainik School Entrance 9th

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Multiplication of Binomials

Multiplication of Binomials

Students / Parents Reviews [10]

Cheshta

Eshan Arora

Om Umang

Shivam Rana

Prisha Gupta

Shreya Shrivastava

Archit Segal

Manish Kumar

Hiya Gupta

Barkha Arora