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 | ________ |
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
= 6p3 - 7p2 + 5p
(iv) 4p2q2 x (p2 - q2) = 4p2q2 x p2 + 4p2q2 x (- q2)
= (4 x 1) x p2q2 x p2 + [4 x (-1)] x p2q2 x q2
= 4p4q2 - 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