सारणी पूरा कीजिए:   प्रथम व्यंजक  द्वितीय व्यंजक  गुणनफल  (i) a b+c+d ______ (ii) x+y-5 5xy ______ (iii) p 6p2 - 7p + 5 ______ (iv) 4p2q2 p2 - q2  _______ (v) a+b+c abc ________ - Zigya
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सारणी पूरा कीजिए:

  प्रथम व्यंजक  द्वितीय व्यंजक  गुणनफल 
(i) a b+c+d ______
(ii) x+y-5 5xy ______
(iii) p 6p2 - 7p + 5 ______
(iv) 4p2q2 p- q _______
(v) a+b+c abc ________


हम पाते हैं:

(i) a x ( b + c + d) = a x b + a x c + a x d
                          = ab + ac + ad

(ii)  (x + y - 5) x 5xy = x x 5xy + y x 5xy + (-5) x 5xy
                             = 5x2y  + 5xy2 - 25xy

(iii)  p x (6p2 - 7p + 5) =  p x 6p2 + p  x (-7p) + p x 5
                                = 6p- 7p2 + 5p

(iv)   4p2q2 x (p- q2) =  4p2qx p2 + 4p2q2 x (- q2)
                               =  (4 x 1) x p2qx p+ [4 x (-1)] x p2qx q2
                               =  4p4q- 4p2q4    

(v) (a+ b + c) x abc =  a x abc + b x abc + c x abc
                             = (1 x 1) x a x abc + (1 x1) x b x abc + (1 x 1) x c x abc
                             = (1) x a2bc + (1) x ab2c + (1) x abc2
                             = a2bc + ab2c + abc2

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