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a) Ta có: \(\dfrac{6x^2-8xy}{9xy-12y^2}\)
\(=\dfrac{2x\left(3x-4y\right)}{3y\left(3x-4y\right)}=\dfrac{2x}{3y}\)
b) \(\dfrac{2a^3-18a}{a^4-81}\)
\(=\dfrac{2a\left(a^2-9\right)}{\left(a^2-9\right)\left(a^2+9\right)}=\dfrac{2a}{a^2+9}\)
Em bấm vào biểu tượng \(\sum\) trên thanh công cụ và gõ phân số để mn dễ hỗ trợ nhé!
`(x^2+x-6)/(x^2+4x+3):(x^2-10x+25)/(x^2-4x-5)(x ne -1,x ne 5,x ne -3)`
`=((x-2)(x+3))/((x+1)(x+3)):(x-5)^2/((x+1)(x-5))`
`=(x-2)/(x+1):(x-5)/(x+1)`
`=(x-2)/(x-5)`
a) \(97\cdot13+130\cdot0,3\)
\(=97\cdot13+13\cdot3\)
\(=13\cdot\left(97+3\right)\)
\(=13\cdot100\)
\(=1300\)
b) \(86\cdot153-530\cdot8,6\)
\(=86\cdot153-53\cdot86\)
\(=86\cdot\left(153-53\right)\)
\(=86\cdot100\)
\(=8600\)
a) \(97.13+130.0,3\)
\(=97.13+13.3\)
\(=13\left(97+3\right)=13.100=1300\)
b) \(86.153-530.8,6\)
\(=86.153-53.86\)
\(=86.\left(153-53\right)=86.100=8600\)
\(a,=6x^2-4x-x^2-4x-4=5x^2-8x-4\\ b,=x^3+8-2\left(1-x^2\right)=x^3+8-2+2x^2=x^3+2x^2+6\\ c,=2xy+2y^2+3x^2-3xy+5=3x^2+2y^2-xy+5\)
1) \(x\left(x+4\right)\left(x-4\right)-\left(x^2+1\right)\left(x^2-1\right)\)
\(=x\left(x^2-16\right)\)
\(=x^3-16x-\left(x^2+1\right)\left(x^2-1\right)\)
\(=x^3-16x-x^4+1\)
b) \(7x\left(4y-x\right)+4y\left(y-7x\right)-2\left(2y^2-3.5x\right)\)
\(=28xy-7x^2+4y\left(y-7x\right)-2\left(2y^2-3.5x\right)\)
\(=28xy-7x^2+4y^2-28xy-4y^2+7x\)
\(=-7x^2+7x\)
c) \(\left(3x-1\right)\left(2x-5\right)-4\left(2x^2-5x+2\right)\)
\(=6x^2-17x+5-4\left(2x^2-5x+2\right)\)
\(=6x^2-17x+5-8x^2+20x-8\)
\(=-2x^2+3x-3\)
a) x(x+4)(x-4)-(x2+1)(x2-1)
=>x(x2-42)-(x4-12)
=>x3-16x-x4+1
=>-x4-x3-15x
b) 7x(4y-x)+4y(y-7x)-2(2y2-3.5x)
=>28xy-7x2+4y2-28xy-4y2+30x
=>-7x2+30x
c) (3x+1)(2x-5)-4(2x2-5x+2)
=>6x2-15x+2x-5-8x2+20x-8
=>-2x2+7x-13
x - 212 - 2x + 13 = 3x + 56 - x
x - 2x - 3x + x = 212 - 13 + 56
-3x = 255
x = - 85
theo đề bài, ta có:
x-212-2x+13=3x+56-x
\(\Rightarrow\)x-2x-3x+x=212+56-13
\(\Rightarrow\)-3x=255
\(\Rightarrow\)x=\(\frac{255}{-3}\)
\(\Rightarrow\)x=-85
97 x 13 + 130 x 0,3
= 97 x 13 + 13 x 3
= 13 x (97 + 3)
= 13 x 100 = 1300
\(97\times13+130\times0.3\)
\(=97\times13+13\times10\times0.3\)
\(=97\times13+13\times30\)
\(=13\times\left(97+30\right)\)
\(=13\times127\)
\(=1651\)