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blondinia [14]
3 years ago
12

Show that: (3x-1)(x+5)(4x-3) = 12x^3 + 47x^2 - 62x +15 for all values of x. (3x-1)(x+5)(4x-3) = (?????)(4x-3) Expand into 6 term

s: ???????? Simplify: ???????? Thank you.
Mathematics
2 answers:
lara31 [8.8K]3 years ago
8 0
<span>(3x - 1)( x + 5)(4x - 3) = 12x^3 + 47x^2 - 62x +15 </span>
<span>(3x^2 – x + 15x - 5)( 4x – 3 ) = <span>12x^3 + 47x^2 - 62x +15 </span></span>
<span>(3x^2 + 14x - 5)( 4x – 3 ) = <span>12x^3 + 47x^2 - 62x +15 </span></span>
<span>12x^3 – 9x^2 + 56x^2 – 42x – 20x + 15 = <span>12x^3 + 47x^2 - 62x +15 </span></span>
<span>12x^3 – 47x^2 - 62x + 15 = <span>12x^3 + 47x^2 - 62x +15 </span></span>

<span> </span>

HACTEHA [7]3 years ago
3 0

Answer with Step-by-step explanation:

We have to show that:

(3x-1)(x+5)(4x-3) = 12x^3 + 47x^2 - 62x +15

(3x-1)(x+5)(4x-3) = (3x(x+5)-1(x+5))(4x-3)\\\\=(3x^2+15x-x-5)(4x-3)\\\\=(3x^2+14x-5)(4x-3)\\\\=3x^2(4x-3)+14x(4x-3)-5(4x-3)\\\\=12x^3-9x^2+56x^2-42x-20x+15\\\\=12x^3+47x^2-62x+15

Hence, we have

(3x-1)(x+5)(4x-3) = 12x^3 + 47x^2 - 62x +15

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