Multiply : (i) 8ab2 by −4a3b4(ii) 23ab by −14a2b(iii) −5cd2 by �

1.	Multiply : (i) 8ab2 by −4a3b4(ii) 23ab by −14a2b(iii) −5cd2 by −5cd2(iv) 4a and (6a+7)(v) −8x and (4−2x−x2)(vi) 2a2−5a−4 and −3a.(vii) x+4 by x−5(viii) 5a−1 by 7a−3(ix) 12a+5b by 7a−b(x) x2+x+1 by 1−x(xi)2m2−3m−1 and 4m2−m−1(xii) a2,ab and b2(xiii) abx,−3a2x and 7b2x3(xiv) −3bx,−5xy and −7b3y2(xv) (−32x5y3) and (49a2x3y)(xvi) (−23a7b2) and (−94ab5)(xvii)(2a3−3a2b2) and (−12ab2)(xviii)(2x+12y) and (2x−12y)
Answer» Multiply : $(i) 8 a b^{2} b y - 4 a^{3} b^{4} (i i) \frac{2}{3} a b b y - \frac{1}{4} a^{2} b (i i i) - 5 c d^{2} b y - 5 c d^{2} (i v) 4 a a n d (6 a + 7) (v) - 8 x a n d (4 - 2 x - x^{2}) (v i) 2 a^{2} - 5 a - 4 a n d - 3 a . (v i i) x + 4 b y x - 5 (v i i i) 5 a - 1 b y 7 a - 3 (i x) 12 a + 5 b b y 7 a - b (x) x^{2} + x + 1 b y 1 - x (x i) 2 m^{2} - 3 m - 1 a n d 4 m^{2} - m - 1 (x i i) a^{2}, a b a n d b^{2} (x i i i) a b x, - 3 a^{2} x a n d 7 b^{2} x^{3} (x i v) - 3 b x, - 5 x y a n d - 7 b^{3} y^{2} (x v) (- \frac{3}{2} x^{5} y^{3}) a n d (\frac{4}{9} a^{2} x^{3} y) (x v i) (- \frac{2}{3} a^{7} b^{2}) a n d (- \frac{9}{4} a b^{5}) (x v i i) (2 a^{3} - 3 a^{2} b^{2}) a n d (- \frac{1}{2} a b^{2}) (x v i i i) (2 x + \frac{1}{2} y) a n d (2 x - \frac{1}{2} y)$

Multiply : (i) 8ab2 by −4a3b4(ii) 23ab by −14a2b(iii) −5cd2 by −5cd2(iv) 4a and (6a+7)(v) −8x and (4−2x−x2)(vi) 2a2−5a−4 and −3a.(vii) x+4 by x−5(viii) 5a−1 by 7a−3(ix) 12a+5b by 7a−b(x) x2+x+1 by 1−x(xi)2m2−3m−1 and 4m2−m−1(xii) a2,ab and b2(xiii) abx,−3a2x and 7b2x3(xiv) −3bx,−5xy and −7b3y2(xv) (−32x5y3) and (49a2x3y)(xvi) (−23a7b2) and (−94ab5)(xvii)(2a3−3a2b2) and (−12ab2)(xviii)(2x+12y) and (2x−12y)

Answer»

Multiply :

$(i) 8 a b^{2} b y - 4 a^{3} b^{4} (i i) \frac{2}{3} a b b y - \frac{1}{4} a^{2} b (i i i) - 5 c d^{2} b y - 5 c d^{2} (i v) 4 a a n d (6 a + 7) (v) - 8 x a n d (4 - 2 x - x^{2}) (v i) 2 a^{2} - 5 a - 4 a n d - 3 a . (v i i) x + 4 b y x - 5 (v i i i) 5 a - 1 b y 7 a - 3 (i x) 12 a + 5 b b y 7 a - b (x) x^{2} + x + 1 b y 1 - x (x i) 2 m^{2} - 3 m - 1 a n d 4 m^{2} - m - 1 (x i i) a^{2}, a b a n d b^{2} (x i i i) a b x, - 3 a^{2} x a n d 7 b^{2} x^{3} (x i v) - 3 b x, - 5 x y a n d - 7 b^{3} y^{2} (x v) (- \frac{3}{2} x^{5} y^{3}) a n d (\frac{4}{9} a^{2} x^{3} y) (x v i) (- \frac{2}{3} a^{7} b^{2}) a n d (- \frac{9}{4} a b^{5}) (x v i i) (2 a^{3} - 3 a^{2} b^{2}) a n d (- \frac{1}{2} a b^{2}) (x v i i i) (2 x + \frac{1}{2} y) a n d (2 x - \frac{1}{2} y)$

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