How do you simplify $8 x^{2} - 10 x + 3 \div 6 x^{2} + 3 x - 3$ $8x^2 - 10x + 3 div 6x^2 + 3x - 3$ ?

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Answer 1 · 2017-11-10T02:06:20

$\frac{4 x - 3}{3 x + 3}$ $(4x-3)/(3x+3$

Re-write in proper fraction view, it's easier to see what you're doing.
$\frac{8 x^{2} - 10 x + 3}{6 x^{2} + 3 x - 3}$ $(8x^2-10x+3)/(6x^2+3x-3)$

Factorise both sides:
$\frac{(2 x - 1) (4 x - 3)}{3 (2 x - 1) (x + 1)}$ $((2x-1)(4x-3))/(3(2x-1)(x+1)$

Cancel anything that's the same top and bottom:
$(cancel(2x-1)(4x-3))/(3cancel(2x-1)(x+1)$

How do you simplify 8x^2 - 10x + 3 div 6x^2 + 3x - 38x2−10x+3÷6x2+3x−3 8x^2 - 10x + 3 div 6x^2 + 3x - 3?