\(\dfrac{\left(x+4\right)^2}{4x+12}:\dfrac{x+4}{3x+9}\)(ĐKXĐ: \(x\notin\left\{-3;-4\right\}\))
\(=\dfrac{\left(x+4\right)^2}{4\left(x+3\right)}\cdot\dfrac{3\left(x+3\right)}{x+4}\)
\(=\dfrac{3\left(x+4\right)}{4}\)
Bài 1 tính
\(\frac{X^2-36}{2X+10}.\frac{3}{6-X}\)
\(\frac{X^2-4}{X^2-9}.\frac{3X+9}{X+2}\)
\(\frac{X^3-8}{5X+20}.\frac{X^2+4X}{X^2+2X+4}\)
\(\frac{4X+12}{\left(X+4\right)^2}:\frac{3X+9}{X+4}\)
\(\frac{5X-10}{X^2+7}:2X+4\)
\(X^2-25:\frac{2X+10}{3X-7}\)
Phân tích đa thức thành nt
a) x^4-25x^2+20x-4
b) x^2 (x^2-6)-x^2+9
c) 4x^2-8x+3
d)4x^4+y^4
e) ( x^2-3x-1)-12(x^2-3x-1)+27
Tìm x:
a.12x^2-4x(3x-5)=10x-17
b.1/5x.(10x-15)-2x(x-5)=12
c.3x(4/3x+1)-4x(x-2)=10
2.tính gtbt
A=5-4x(x-2)+4x^2 tại x=4
d,5x+10/4x-8.4-2x/x+2
Bài 2: rút gọn
a, 6x ² y ³/8x ³y ²
b, x ³-x/3x+3
c, x ²+3xy/x ²-9y ²
d, x ²+4x+4/3x+6
Bài 3: Thực hiện phép tính
a, (x/x-3+(9-6x/x ²-3x)
b, 1/x-1/x+1
c, (x-12/6x-36)+(6/x ²-6x)
d, (6x-3/x):(4x ²-1/3x ²)
e, (x+y/2x-2y)-(x-y/2x+2y)-(y ²+x ²/y ²-x ²)
f, 7x+6/2x(x+7)-3x+6/2x ²+14x
g, (2/x+2-4/x ²+4x+4):(2/x ²-4+1/2-x)
a, (x+10/4x-8) . (4-2x/x+2)
b, (1-4x^2/x^2+4x) : (2-4x/3x)
c, ( 4y^2/7x^4) : (-8y/35x^2)
d, (x^2-4/3x+12) . (x+4/2x-4)
Giải pt:
a) | 5x | = 3x + 8
b) | -4x | = -2x + 11
c) | 3x - 1 | = 4x + 1
d) | 3 - 2x | = 3x - 7
e) 9 - | -5x | + 2x = 0
f) ( x + 1)² + | x + 10 | - x² - 12 = 0
g) | 4 - x | + x² - (5 + x)x = 0
h) | x - 1 | = | 2x - 3|
i) | x| + | x + 2 | = 4
k) | 2x + 1 | - | 5x - 2 | = 3
l) 2 | x | - | x + 3 | - 1 = 0
- Bài 12: Thực hiện phép tính
1) x(1 - x) + (x - 1) ^ 2 3) (x + 2) ^ 2 - (x - 3)(x + 1)
5) (x - 2) ^ 2 + (x - 1)(x + 5)
7) (1 - 2x)(5 - 3x) + (4 - x) ^ 2
9) (x + 1) ^ 2 + (x - 2)(x + 2) - 4x
11) (x + 4) ^ 2 + (x + 5)(x - 5) - 2x(x + 1)
13) (x - 1) ^ 2 - 2(x + 3)(x - 3) + 4x(x - 4)
2) (x - 3) ^ 2 - x ^ 2 + 10x - 7
4) (x + 4)(x - 2) - (x - 3) ^ 2
6) (x + 3)(x - 3) - x(23 + x)
8) (x - 2)(x + 2) - (x - 3)(x + 1)
10) (x + 2) ^ 2 - (x + 3)(x - 3) + 10
12) (x - 1) ^ 2 - (x - 4)(x + 4) + (x + 3) ^ 2
14) (y - 3)(y + 3)(y ^ 2 + 9) -(y^ 2 +2)(y
Giải các phương trình sau:
a) 2,3 - 2(0,7 + 2) = 3,6 - 1,7x
b) \(\dfrac{5x+7}{4}-\dfrac{3x+5}{8}=\dfrac{4x+9}{5}-\dfrac{x-9}{3}\)
c) \(\dfrac{2x-1}{4}+\dfrac{x-3}{3}=\dfrac{4x-2}{3}-\dfrac{6x+7}{12}\)
d) (x - 1)(x + 2) - x(x + 3) = 8
