Question

A=x²+xy-6B=6xy-2x²+1 and C=3x²+7-3xy , FIND
(i) A + B + C
(ii) A - B +C
(iii)A + B -C

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Answer 1

★ Question:

A = x² + xy - 6 ; B = 6xy - 2x² + 1 and C = 3x² + 7 - 3xy , FIND

(i) A + B + C

(ii) A - B + C

(iii) A + B - C

Solution 1 :

Given, A + B + C , therefore

» ( x² + xy - 6 ) + ( 6xy - 2x² + 1 ) + ( 3x² + 7 - 3xy )

» {( x² + xy - 6 ) + ( 6xy - 2x² + 1 ) + ( 3x² + 7 - 3xy )}

» x² - 2x² + 3x² + xy + 6xy - 3xy + 1 - 6 + 7

» 2x² + 4xy + 2

★ Answer:

2x² + 4xy + 2

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Solution 2 :

Given that, (ii) A - B + C , therefore

» ( x² + xy - 6 ) - ( 6xy - 2x² + 1 ) + ( 3x² + 7 - 3xy )

» {( x² + xy - 6 ) - ( 6xy - 2x² + 1 ) + ( 3x² + 7 - 3xy )}

» x² - 2x² + 3x² + xy + 6xy - 3xy + 7 + 1 - 6

» 6x² - 8xy

★ Answer :

6x² - 8xy

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Solution 3 :

Given that, (iii) A + B - C , therefore

» ( x² + xy - 6 ) + ( 6xy - 2x² + 1 ) - ( 3x² + 7 - 3xy )

» {( x² + xy - 6 ) + ( 6xy - 2x² + 1 ) - ( 3x² + 7 - 3xy )}

» - 4x² + 10xy - 12

★ Answer :

- 4x² + 10xy - 12

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