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Algebraic Identity -3

Algebraic Identities - 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

Factorisation Using Square Identities

Factorisation Using Cubic Identities

Class - SBI PO Prelims 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 (1000-4)(1000+3)
A. 998988	B. 999987	C. 999956	D. 999924
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

Which of the following expressions represent the value of (x + 3) (x - 5) ?
A. $x^2-2x-15$	B. $x^2+2x-15$	C. $x^2-8x-15$	D. $x^2+8x-15$
Right Option : A
View Explanation

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Permutation and Combination

Problems On Boats And Stream

Rules For Divisibility

Number Theory

HCF And LCM

Cube and Cube Roots

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Partnership and Mixture

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Algebraic Identities

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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]

Shivam Rana

Hiya Gupta

Shreya Shrivastava

Yatharthi Sharma

Manish Kumar

Aman Kumar Shrivastava

Ayan Ghosh

Cheshta

Prisha Gupta

Archit Segal