Q. 14.3( 244 Votes )

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Answer :

Like terms are terms with the same variables and exponents.

(i) 21b + 7b - 20b - 32

= (21b + 7b - 20b )- 32

= ( 28 b - 20 b ) - 32

=8b - 32


(ii) 7z3 + 13z2 - z2 - 15z - 5z

= 7z3 + (13z2 - z2 )- (15z + 5z)

=7z3 + 12z2 - 20z


(iii) p – (p – q) - q – (q - p)


= p - p + p + q - q -q


= p - q


(iv) 3a - 2b - ab – (a - b + ab) + 3ab + b - a

= 3a - 2b - ab - a + b - ab + 3ab + b - a

= (3a - a - a) + (-2b + b + b ) + ( -ab - ab + 3ab)

= ( 3a - 2a) + ( -2b + 2b) + (-2ab + 3ab)

= a + 0 + ab

= a + ab


(v)5x2y + 3x2y + 8xy2 - 5x2 + x2 - 3y2 - y2 - 3y2

= (5x2y + 3x2y) + 8xy2 +( - 5x2 + x2 ) + ( - 3y2 - y2 - 3y2)

= 8x2y + 8xy2- 4x2 + ( - 4y- 3y2)

= 8x2y + 8xy2- 4x2 - 7y2


(vi)(3y2 + 5y – 4) – (8y - y2 – 4)

= 3y2 + 5y – 4– 8y + y2 + 4

= (3y2 + y2) +( 5y - 8y) - 4 + 4

= 4y2 - 3y

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