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Algebraic Identity -3

Polynomials II - Concepts

Algebraic Identity - Square of Sum of Binomial

Algebraic Identity - Square of difference of Binomial

Algebraic Identity - Dfference of Square

Algebraic Identity -3

Algebraic Identity - Square of Trinomial

Algebraic Identity - Difference of Cubes

Algebraic Identity - Sum of Cubes

Algebraic Identity -Cube of Sum of Binomial

Algebraic Identity -Cube of Difference of Binomial

Algebraic Identity- Conditional

Division of Polynomial by another Polynomial Long Division

Factorization of Cubic Polynomial

Relationship of Zeros With Coefficients of Cubic Polynomial

Factorisation Using Square Identities

Factorisation Using Cubic Identities

Class - 10th IMO Subjects

Concept Explanation

Algebraic Identity -3

Product of two binomials (x+a) and (x+b)

$large (x+a)(x+b)=x(x+b)+a(x+b)$

$large = x^{2}+xb+ax+ab$

$large =x^{2}+bx+ax+ab$

$large =x^{2}+ax+bx+ab$

$large =x^{2}+(a+b)x+ab$

$large because xb=bx$

$large therefore bx+ax=ax+bx$

Thus,

$large (x+a)(x+b)=x^{2}+ax+bx+ab$

$large (x+a)(x+b)=x^{2}+(a+b)x+ab$

Illustration: Expand (x+3)(x+4)

Solution: $large =$ $large x^{2}+(3+4)x+3times 4$

$large =x^{2} +7x +12$

Illustration: Expand (y+2)(y+5)

Solution: $y^{2}+(2+5)y+2(5)$

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Sample Questions

(More Questions for each concept available in Login)

Question : 1

Evaluate : (x+1)(x+2)
A. $x^{2}+3x+2$	B. $x^{2}+3x-2$	C. $x^{2}-3x+2$	D. None of these
Right Option : A
View Explanation

Question : 2

Find product of $dpi{110} (x^2+x+1)(x^2-x+1)$
A. $x^4+x^2+2$	B. $x^2+x^2+1$	C. $x^4+x^2+1$	D. None of these
Right Option : C
View Explanation

Question : 3

Find the product of $large dpi{110}(7x+15y)(7x+3y)$
A. $dpi{110}49x^2+14xy+15y^2$	B. $dpi{110}15x^2+15xy+15y^2$	C. $dpi{110}49x^{2}+126xy+45y^{2}$	D. $dpi{110}14x^2+15xy+15y^2$
Right Option : D
View Explanation

Video Link - Have a look !!!

Language - English

Chapters

Real Numbers I

Real Numbers II

Pair of Linear Equations I

Pair of Linear Equations II

Polynomial I

Polynomials II

Quadratic Equations I

Quadratic Equations II

Introduction to Trigonometry I

Introduction to Trigonometry II

Arithmetic Progression I

Arithmetic Progression II

Triangles I

Triangles II

Some Applications of Trigonometry

Coordinate Geometry I

Coordinate Geometry II

Introduction to Trigonometry

Direct and Inverse Variation

Surface Area and Volume I

Surface Area and Volume II

Areas Related to Circles

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Banking And Insurance

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English Proficiency

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Attention !!!!!

Algebraic Identity -3

Algebraic Identity -3

Product of two binomials (x+a) and (x+b)

Illustration: Expand (x+3)(x+4)

Illustration: Expand (y+2)(y+5)

Students / Parents Reviews [10]

Om Umang

Cheshta

Shreya Shrivastava

Aman Kumar Shrivastava

Shivam Rana

Barkha Arora

Prisha Gupta

Hiya Gupta

Ayan Ghosh

Manish Kumar