ptdttnt:x^2+3x-4
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\(P\left(x\right)=3x^4+9x^2-2x-3\)
\(Q\left(x\right)=\left(3x^4-3x^4\right)+\left(x^2-4x^2+1.5x^2\right)+2x+1=-1.5x^2+2x+1\)
\(\left(3x+4\right)^2+\left(5-3x\right)^2+2.\left(3x+4\right)\left(5-3x\right)\\ =\left[\left(3x+4\right)+\left(5-3x\right)\right]^2\\ =\left(3x+4+5-3x\right)^2\\ =9^2=81\)
1: \(=6x^2+2x-15x-5-x^2+6x-9+4x^2+20x+25-27x^3-27x^2-9x-1\)
=-27x^3-18x^2+4x+10
2: =4x^2-1-6x^2-9x+4x+6-x^3+3x^2-3x+1+8x^3+36x^2+54x+27
=7x^3+37x^2+46x+33
5:
\(=25x^2-1-x^3-27-4x^2-16x-16-9x^2+24x-16+\left(2x-5\right)^3\)
\(=8x^3-60x^2+150-125+12x^2-x^3+8x-60\)
=7x^3-48x^2+8x-35
a) Ta có: \(\dfrac{x^2+38x+4}{2x^2+17x+1}-\dfrac{3x^2-4x-2}{2x^2+17x+1}\)
\(=\dfrac{x^2+38x+4-3x^2+4x+2}{2x^2+17x+1}\)
\(=\dfrac{-2x^2+42x+6}{2x^2+17x+1}\)
c) Ta có: \(C=\dfrac{-x}{3x-2}+\dfrac{7x-4}{3x-2}\)
\(=\dfrac{-x+7x-4}{3x-2}\)
\(=\dfrac{6x-4}{3x-2}=2\)
\(\left(3x-4\right)^2-2\left(3x-4\right)\left(x-4\right)+\left(4-x\right)^2\)
\(=\left(3x-4\right)^2+2\left(3x-4\right)\left(4-x\right)+\left(4-x\right)^2\)
\(=\left(3x-4+4-x\right)^2\)
\(=\left(2x\right)^2=4x^2\)
Ta có: \(\left(3x-4\right)^2-2\left(3x-4\right)\left(x-4\right)+\left(4-x\right)^2\)
\(=\left(3x-4+x-4\right)^2\)
\(=\left(4x-8\right)^2\)
\(\left(3x-4\right)^2+2\left(3x-4\right)\left(4-x\right)+\left(4-x\right)^2\)
\(=\left(3x-4+4-x\right)^2\)
\(=4x^2\)
\(=x^2-x+4x-4\)
\(=x(x-1)+4(x-1)\)
\(=(x+4)(x-1)\)
sai đề rồi bạn ơi