Question

multiply
(6x³-11x+7)(3x-4)​

Answer 1

Here's what the multiplication looks like when it's done horizontally:

(4x2 – 4x – 7)(x + 3)

(4x2 – 4x – 7)(x) + (4x2 – 4x – 7)(3)

4x2(x) – 4x(x) – 7(x) + 4x2(3) – 4x(3) – 7(3)

4x3 – 4x2 – 7x + 12x2 – 12x – 21

4x3 – 4x2 + 12x2 – 7x – 12x – 21

4x3 + 8x2 – 19x – 21

@krishhhhhhna

Answer 2

$\huge \underline{ \underline{ \bf \purple{Solution :}}}$

$\sf \implies( {6x}^{2} - 11x + 7)(3x - 4) \\ \\\sf \implies 3x( {6x}^{2} - 11x + 7) - 4( {6x}^{2} - 11x + 7) \\ \\\sf \implies 18 {x}^{3} - 33 {x}^{2} + 21x - {24x}^{2} + 44x - 28 \\ \\ \implies \boxed{ \sf{18x}^{3} - 57 {x}^{2} + 65x - 28}$