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Algebraic Identity - Square of Trinomial

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 - Quantitative Aptitude Proficiency Subjects

Concept Explanation

Algebraic Identity - Square of Trinomial

Let us take a trinomial $dpi{100} large (a+b+c)^2$

Let $large a+b= x$

Now ,square the trinomial as follows:

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

$large =$ $large x^{2}+2xc+c^{2}$

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

$large = a^{2}+2ab +b^{2}+2ac+2bc+c^{2}$

$large a^{2}+b^{2}+c^{2}+2ab+2bc +2ca$

$large therefore (a+b+c)^{2}= a ^{2}+b^{2}+c^{2}+2ab+2bc+2ca$

Illustration: Expand $large (3x+2y+7)^{2}$

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Sample Questions

(More Questions for each concept available in Login)

Question : 1

Expand $large (frac{a}{bc}+frac{b}{ca}+frac{c}{ab})^2$
A. $frac{a^2}{b^2c^2}+frac{b^2}{c^2a^2}+frac{c^2}{a^2b^2}+frac{2}{a}+frac{2}{b}+frac{2}{c}$
B. $frac{a}{b^2c^2}+frac{b}{c^2a^2}+frac{c}{a^2b^2}+frac{2}{a^2}+frac{2}{b^2}+frac{2}{c^2}$
C. $frac{a^2}{b^2c^2}+frac{b^2}{c^2a^2}+frac{c^2}{a^2b^2}+frac{2}{a^2}+frac{2}{b^2}+frac{2}{c^2}$
D. None of these
Right Option : C
View Explanation

Question : 2

Factorize: $x^2+4y^2+9z^2-4xy+12yz-6zx$
A. (x+5y-3z)(x-4y+8z)		B. (7x+6y-8z)(4x+8y+5z)
C. (-x+6y+8z)(-8x+5y+3z)		D. (-x+2y+3z)(-x+2y+3z)
Right Option : D
View Explanation

Question : 3

Solve $(2x+3y+5z)^{2}$
A. $4x^{2}+9y^{2}+25z^{2}+12xy+30yz+20zx$	B. $4x^{2}+9y^{2}+25z^{2}-12xy+30yz-20zx$	C. $4x^{2}+9y^{6}+25z^{2}+12xy+30yz+20zx$	D. $4x^{9}+9y^{2}-25z^{2}+12xy+30yz+20zx^{}$
Right Option : A
View Explanation

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Chapters

Problems On Boats And Stream

Rules For Divisibility

Square and Square Root

Profit Loss and Discount

Simple and Compound Interest

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Bank Clerical Prelims Test Series

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Bank SO Prelims Test Series

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Attention !!!!!

Algebraic Identity - Square of Trinomial

Algebraic Identity - Square of Trinomial

Illustration: Expand

Students / Parents Reviews [10]

Barkha Arora

Ayan Ghosh

Manish Kumar

Cheshta

Shreya Shrivastava

Om Umang

Hiya Gupta

Yatharthi Sharma

Aman Kumar Shrivastava

Shivam Rana

Illustration: Expand $large (3x+2y+7)^{2}$