Question

Simplificati raportul descompunand in factori

$\frac{ {3x}^{2} - 7x + 4 }{ {x}^{2} - 9x + 8 }$
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Answer 1

Explicație pas cu pas:

3x²-7x+4= 3x²-3x-4x+4=3x(x-1)-4(x-1)=(x-1)(3x-4)

x²-9x+8=x²-x-8x+8=x(x-1)-8(x-1)=(x-1)(x-8)

[(x-1)(3x-4])/[(x-1)(x-8)]= (3x-4)/(x-8)