Q. 55.0( 1 Vote )

Subtract

(i) Subtract 2 a – b from 3a - b

(ii) Subtract -3x + 8y from -7x - 10y

(iii) Subtract 2ab + 5bc - 3ca from 7ab - 2bc + 10ca

(iv) Subtract x5 – 2x2 – 3x from x3 + 3x2 + 1

(v) Subtract 3x2y – 2xy + 2xy2 + 5x – 7y – 10 from 15 – 2x + 5y – 11 xy + 2xy2 + 8x2y

Answer :

i. Subtract 2 a – b from 3a – b



Answer = a


ii. Subtract -3x + 8y from -7x - 10y



Answer = -4x-18y


iii. Subtract 2ab + 5bc - 3ca from 7ab - 2bc + 10ca


Solution:



iv. Subtract x5 - 2x2 - 3x from x3 - 3x2 + 1



Answer = - x5 + x3 - x2 + 3x + 1


v. Subtract 3x2y - 2xy + 2xy2 + 5x -7y-10 from 15-2x + 5y-11xy + 2xy2 + 8x2y


Row method of subtraction


= (15-2x + 5y-11xy + 2xy2 + 8x2y) – (3x2y - 2xy + 2xy2 + 5x -7y-10)


= 15-2x + 5y-11xy + 2xy2 + 8x2y - 3x2y + 2xy - 2xy2 - 5x + 7y + 10


Now combining the like terms


= (2xy2-2xy2) + (8x2y- 3x2y) + (-11xy + 2xy) + (-2x-5x) + (5y + 7y) + (15 + 10)


= 5 x2y + (-9xy) + (-7x) + 12y + 25


= 5 x2y – 9xy – 7x + 12y + 25


Answer = 5 x2y – 9xy – 7x + 12y + 25


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