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\(1,5x-2\frac{1}{3}x=1,5-\frac{2}{3}\)
\(\Leftrightarrow\frac{3}{2}x-\frac{7}{3}x=\frac{3}{2}-\frac{2}{3}\)
\(\Leftrightarrow-\frac{5}{6}x=\frac{5}{6}\)
\(\Leftrightarrow x=-1\)
\(1,5x-2\frac{1}{3}x=1,5-\frac{2}{3}\)
\(\Leftrightarrow\left(\frac{3}{2}-\frac{7}{3}\right)x=\frac{5}{6}\)
\(\Leftrightarrow-\frac{5}{6}x=\frac{5}{6}\)\(\Rightarrow x=-1\)
\(P\left(x\right)=3x^4+9x^2-2x-3\)
\(Q\left(x\right)=\left(3x^4-3x^4\right)+\left(x^2-4x^2+1.5x^2\right)+2x+1=-1.5x^2+2x+1\)
1, \(3x^2-2x\left(5+1,5x\right)+10\)
= \(3x^2-10x-3x^2+10\)
= \(10-10x\)
= \(10\left(1-x\right)\)
\(\text{a)}3x^2-2x\left(5+1.5x\right)+10\\ =3x^2-10x+3x^2+10\\ =\left(3x^2+3x^2\right)-10x+10\\ =6x^2-10x+10\)
\(\text{b)}5x\left(3x^2-12x+6\right)+4x^3\\ =15x^3-60x^2+30x+4x^3\\ =\left(15x^3+4x^3\right)-60x^2+30x\\ =19x^3-60x^2+30x\)
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1: (3x+2)(x+2)(2x-1)
=(3x^2+6x+2x+4)(2x-1)
=(3x^2+8x+4)(2x-1)
=6x^3-3x^2+16x^2-8x+8x-4
=6x^3+13x^2-4
2: (5x+1)(x-1)+3x(2x+2)
=5x^2-5x+x-1+6x^2+6x
=11x^2+10x-1
3: 4x(2x+1)(x-1)+(x+5)(x-3)
=4x(2x^2-2x+x-1)+x^2+2x-15
=8x^3-4x^2-4x+x^2+2x-15
=8x^3-3x^2-2x-15
4: (2x-1)(x+2)(x-2)+(3x-1)(x-1)
=(2x-1)(x^2-4)+3x^2-4x+1
=2x^3-8x-x^2+4+3x^2-4x+1
=2x^3+2x^2-12x+5
c: \(\Leftrightarrow6x+3=\dfrac{11}{4}\left(2-x\right)\)
\(\Leftrightarrow x=\dfrac{10}{11}\)
\(P\left(x\right)-Q\left(x\right)=\left(-2x+\frac{1}{2}x^2+3x^4-3x^2-3\right)-\left(3x^4+x^3-4x^2+1,5x^3-3x^4+2x+1\right)\\ P\left(x\right)-Q\left(x\right)=-2x+\frac{1}{2}x^2+3x^4-3x^2-3-3x^4-x^3+4x^2-1,5x^3+3x^4-2x-1\\ P\left(x\right)-Q\left(x\right)=\left(-2x-2x\right)+\left(\frac{1}{2}x^2-3x^2+4x^2\right)+\left(3x^4-3x^4+3x^4\right)+\left(-3-1\right)+\left(-x^3-1,5x^3\right)\\ P\left(x\right)-Q\left(x\right)=-4x+\frac{3}{2}x^2+3x^4-4-\frac{5}{2}x^3\)
\(R\left(x\right)+P\left(x\right)-Q\left(x\right)+x^2=2x^3-\frac{3}{2}x+1\\ \Rightarrow R\left(x\right)+\left(P\left(x\right)-Q\left(x\right)\right)+x^2=2x^3-\frac{3}{2}x+1\\ \Rightarrow R\left(x\right)-4x+\frac{3}{2}x^2+3x^4-4-\frac{5}{2}x^3+x^2=2x^3-\frac{3}{2}x+1\\ \Rightarrow R\left(x\right)-4x+\left(\frac{3}{2}x+x^2\right)+3x^4-4-\frac{5}{2}x^3=2x^3-\frac{3}{2}x+1\\ \Rightarrow R\left(x\right)-4x+\frac{5}{2}x^2+3x^4-4-\frac{5}{2}x^3=2x^3-\frac{3}{2}x+1\\ \Rightarrow R\left(x\right)=2x^3-\frac{3}{2}x+1+4x-\frac{5}{2}x^2-3x^4+4+\frac{5}{2}x^3\\ \Rightarrow R\left(x\right)=\left(2x^3+\frac{5}{2}x^3\right)+\left(\frac{-3}{2}x+4x\right)+\left(1+4\right)-\frac{5}{2}x^2-3x^4\\ \Rightarrow R\left(x\right)=\frac{9}{2}x^3+\frac{5}{2}x+5-\frac{5}{2}x^2-3x^4\)
cần gấp kệ bn
im mồm m zô ko bt thì đừng có ghi nha