a) \(36x^2-12x-36x^2+27x=30\)
\(15x=30\)
\(x=2\)
b) \(5x-2x^2+2x^2-2x=15\)
\(3x=15\)
\(x=5\)
a) \(36x^2-12x-36x^2+27x=30\)
\(15x=30\)
\(x=2\)
b) \(5x-2x^2+2x^2-2x=15\)
\(3x=15\)
\(x=5\)
1)Tim x, biet : a) \(4\left(18-5x\right)-12\left(3x-7\right)=15\left(2x-16\right)-6\left(x+14\right)\)
b) \(2\left(5x-8\right)-3\left(4x-5\right)=4\left(3x-4\right)+11\)
tính:
a,\(\left(6x^3+3x^2+4x+2\right):\left(3x^2+2\right)\)
b,\(\left(2x^3-27x^2+115x-150\right):\left(x-5\right)\)
c,\(\left(12x^4+4x^3+9x+3\right):\left(3x-2\right)\)
Thực hiện phép tính
a, \(\left(3x^4-8x^3-10x^2+8x-5\right):\left(3x^2-2x+1\right)\)
b,\(\left(2x^3-9x^2+19x-15\right):\left(x^2-3x+5\right)\)
c,\(\left(8x^3-y^3\right)\left(4x^2-y^2\right):\left(2x+y\right)\left(4x^2-4xy+y^2\right)\)
Giải các phương trình sau:
a)\(\frac{\left(9x-0.7\right)}{4}-\frac{\left(5x-1.5\right)}{7}=\frac{\left(7x-1.1\right)}{3}-\frac{5\left(0.4-2x\right)}{6}\)
b)\(\frac{3x-1}{x-1}-\frac{2x+5}{x+3}=1-\frac{4}{\left(x-1\right)\left(x+3\right)}\)
c)\(\frac{3}{4\left(x-5\right)}+\frac{15}{50-2x^2}=-\frac{7}{6\left(x+5\right)}\)
d)\(\frac{8x^2}{3\left(1-4x\right)^2}=\frac{2x}{6x-3}-\frac{1+8x}{4+8x}\)
Phân tích đa thức thành nhân tử:
a) \(A=\left(4x+1\right)\left(12x-1\right)\left(12x-1\right)\left(x+1\right)-4\)
b) \(B=\left(x^2+x\right)^2-2\left(x^2+x\right)-15\)
c) \(C=\left(x^2+2x\right)^2+9x^2+18x+20\)
d) \(D=\left(x^2+3x+1\right)\left(x^2+3x+2\right)-6\)
e) \(E=\left(x^2+8x+7\right)\left(x+3\right)\left(x+5\right)+15\)
Phân tích các đa thức sau thành nhân tử:
\(A=4x^2+6x\). \(B=\left(2x+3\right)^2-x\left(2x+3\right)\). \(C=\left(9x^2-1\right)-\left(3x-1\right)^2\).
\(D=x^3-16x\). \(E=4x^2-25y^2\). \(G=\left(2x+3\right)^2-\left(2x-3\right)^2\).
tìm x, biết:
\(a,-4x\left(x-7\right)+4x\left(x^2-5\right)\)\(=28x^2-13\)
\(b,\left(4x^2-5x\right)\left(3x+2\right)-7x\left(x+5\right)\))\(=\left(-4+x\right)\left(-2x+3\right)+12x^2+2x^2\)
Tính và thu gon:
\(\left(2x+1\right)^2-\left(4x-3\right)\left(x+7\right)-22\)
\(69x\left(3x^2-5x\right)-\left(3x+1\right)\left(9x^2-18x-1\right)\)
\(\left(1-2x\right)^3-4x^2\left(3-2x\right)+24x^2\)
\(\left(24x^2y^2z-36x^2y^2z^2-12x^2y^3z\right):12x^2yz\)
Thu gọn \(\dfrac{20x^2+120x+180}{\left(3x+5\right)^2-4x^2}+\dfrac{5x^2-125}{9x^2-\left(2x+5\right)^2}-\dfrac{\left(2x+3\right)^2-x^2}{3\left(x^2+8x+15\right)}\)