b1Tìm x
1. (4x-3).(4x+3)-(4x+1)^2 =3.(2x-5)
2. 2x(9+2x)-(2x-5)^2=15
b2 Rút gọn B = 3x^3-9x^2/2x^3-12x^2+18x
b1Tìm x 1. (4x-3).(4x+3)-(4x+1)^2 =3.(2x-5) 2. 2x(9+2x)-(2x-5)^2=15 b2 Rút gọn B = 3x^3-9x^2/2x^3-12x^2+18x
By Maria
By Maria
b1Tìm x
1. (4x-3).(4x+3)-(4x+1)^2 =3.(2x-5)
2. 2x(9+2x)-(2x-5)^2=15
b2 Rút gọn B = 3x^3-9x^2/2x^3-12x^2+18x
(4x-3).(4x+3)-(4x+1)^2 =3.(2x-5)
=>16x^2-9-(16x^2+8x+1)=6x-15
=>16x^2-9-16x^2-8x-1-6x+15=0
=>-14x+5=0
=>x=5/14
2x(9+2x)-(2x-5)^2=15
=>18x+4x^2-4x^2+20x=15+25
=>38x=40
=>19x=20
=>x=20/19
B = 3x^3-9x^2/2x^3-12x^2+18x
=3x^2(x-3)/2x(x^2-6x+9)
=3x(x-3)/2(x-3)^2
=3x/2(x-3)
Đáp án+giải thích các bước giải:
B1:
1,
$(4x-3).(4x+3)-(4x+1)^2=3.(2x-5)$
$16x^2-9-16x^2-8x-1=6x-15$
$16x^2-16x^2-8x-6x=-15+1+9$
$-14x=-5$
$x=\dfrac{5}{14}$
$\text{Vậy x=}$ $\dfrac{5}{14}$
2,
$2x(9+2x)-(2x-5)^2=15$
$18x+4x^2-4x^2+20x-25=15$
$18x+4x^2-4x^2+20x=15+25$
$38x=40$
$x=\dfrac{20}{19}$
$\text{Vậy x=}$ $\dfrac{20}{19}$
B2:
$B=\dfrac{ 3x^3-9x^2}{2x^3-12x^2+18x}$
$=\dfrac{3x^2(x-3)}{2x(x^2-6x+9)}$
$=\dfrac{3x^2(x-3)}{2x(x-3)^2}$
$=\dfrac{3x}{2(x-3)}$