algebraic identities

ALGEBRAIC IDENTITIES

what is algebra ?

the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Multiple Choice

IDENTIFY THE FOLLOWING ALGEBRAIC EXPRESSIONS .(A+B)²

• A² + B² + 2AB

• (A+B)² + 2AB

• A+B² + 2AB

• A +B + 2AB

Multiple Choice

IDENTIFY THE FOLLOWING ALGEBRAIC EXPRESSIONS .(A-B)²

• A² - B^{2 -} 2AB

• (A-B)² + 2AB

• A²+B² - 2AB

• A - B + 2AB

POINTS TO BE REMEMBERED .....!

• AREA OF SQUARE = (SIDE)²

• AREA OF RECTANGLE = (LENGTH* BREADTH)

SO ,

• IN SQUARE ABCD ,

• SIDE = a+b

• so area of square = (a+b)²

• 
  

NOW ,

• IN SQUARE AFGE

• SIDE = a

• AREA OF SQUARE = (a)²

• IN RECTANGLE GIDF

• LENGTH = b , BREADTH = a

• AREA OF RECTANGLE = a*b= ab

ALSO ,

• IN RECTANGLE EGHB ,

• LENGTH = b , BREADTH = a

• AREA OF RECTANGLE = a*b= ab

• IN SQUARE GHCI

• SIDE = b

• area of square = b²

NOW ,

• AREA OF ABCD = (a+b)²

• (a+b)² = a²+ ab + ab + b²

• .'. (a+b)²= a² + 2ab + b²

SO ,

• IN SQUARE ABCD ,

• SIDE = a

• area of the square, adbc= a²

NOW ,

• IN SQUARE AFGE,

• SIDE = a-b

• AREA OF SQUARE = (a-b)²

ALSO

• IN RECTANGLE EGHB

• LENGTH = b , BREADTH = (ab)

• SO AREA OF RECTANGLE =ab-b²

ALSO ,

• IN RECTANGLE FDGI ,

• LENGTH = b , BREADTH = a-b

• SO AREA OF RECTANGLE =ab-b²

• ALSO ,

• IN SQUARE GICH,

• SIDE = b

• area of the square = b²

• area of the square, adbc= a²

• (a)² =(a-b)² +ab-b² +ab-b² + b²

• (a)² =(a-b)² +ab-b² +ab

• (a)²-ab +b² -ab =(a-b)²

• (a)² + (b)²- 2ab

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