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1a : x = -1
2a : x = 10
còn mấy bài khác mình không biết giải nha
b) \(=y^3-1+\frac{2}{3}x^3y-2xy+\frac{1}{3}x^2y^3-y^3\)
\(=\frac{2}{3}x^3y+\frac{1}{3}x^2y^3-2xy-1\)
a)(x+2y)2=(x+2y)(x+2y)
=x2+2xy+2xy+4y2
=x2+4xy+4y2
b)(3x-2y)2=(3x-2y)(3x-2y)
=9x2-6xy-6xy+4y2
=9x2-12xy+4y2
c)(2x-1/2)2=(2x-1/2)(2x-1/2)
=4x2-x-(4x-1)/4
=16x2-8x+1/4
d,e làm như c (do mk ko thik lm mấy loại p/s nên bn cố lm)
g)(x-2)(x2+2x+4)=x3+2x2+4x-2x2-4x-8
=x3+(2x2-2x2)+(4x-4x)-8
=x3-8
\(1.5x\left(x^2+2x-1\right)-3x^2\left(x-2\right)=5x^3+10x^2-5x-3x^3+6x^2\)
\(=2x^3+16x^2-5x\)
\(=\left(2x^3-x\right)+\left(16x^2-4x\right)\)
\(=x\left(2x^2-1\right)+4x\left(4x-1\right)\left(ĐCCM\right)\)
a) \(\left(x+3\right)\left(x+4\right)\left(x+5\right)\left(x+6\right)+1\)
\(=\left(x^2+9x+18\right)\left(x^2+9x+20\right)+1\)
\(=\left(x^2+9x+19\right)^2-1+1\)
\(=\left(x^2+9x+19\right)^2\)
b) \(x^2+y^2+2x+2y+2\left(x+1\right)\left(y+1\right)+2\)
\(=\left(x^2+2x+1\right)+\left(y^2+2y+1\right)+2\left(x+1\right)\left(y+1\right)\)
\(=\left(x+1\right)^2+\left(y+1\right)^2+2\left(x+1\right)\left(y+1\right)\)
\(=\left(x+1+y+1\right)^2=\left(x+y+2\right)^2\)
c) \(x^2-2x\left(y+2\right)+y^2+4y+4\)
\(=x^2-2x\left(y+2\right)+\left(y^2+4y+4\right)\)
\(=x^2-2x\left(y+2\right)+\left(y+2\right)^2\)
\(\left(x-y-2\right)^2\)
d) \(x^2+2x\left(y+1\right)+y^2+2y+1\)
\(=x^2+2x\left(y+1\right)+\left(y^2+2y+1\right)\)
\(=x^2+2x\left(y+1\right)+\left(y+1\right)^2\)
\(=\left(x+y+1\right)^2\)
I,
\(B=\left(3x-1\right)^2-\left(x+7\right)^2-2\left(2x-5\right)\left(2x+5\right)\\ =9x^2-6x+1-x^2-14x-49-2\left(4x^2-25\right)\\ =8x^2-20x-48-8x^2+50\\ =-20x+2\)
II,
\(a,2x^2+6xy-10.Thayx=-4,y=3,tacó: 2\cdot\left(-4\right)^2+6\cdot\left(-4\right)\cdot3-10=-50\)
\(b,x\left(x+y\right)+y\left(x+y\right)=\left(x+y\right)\left(x+y\right)=\left(x+y\right)^2\\ Thayx=19,6;y=0,4tacó:\\ \left(19,6+0,4\right)^2=400\)
\(c,x\left(x-3\right)-y\left(3-x\right)=x\left(x-3\right)+y\left(x-3\right)=\left(x+y\right)\left(x-3\right)\\ Thayx=\frac{1}{3};y=\frac{8}{3},tacó:\\ \left(\frac{1}{3}+\frac{8}{3}\right)\left(\frac{1}{3}-3\right)=-8\)
\(d,2x^2\left(x^2+y^2\right)+2y^2\left(x^2+y^2\right)+5\left(x^2+y^2\right)\\ =\left(x^2+y^2\right)\left[2\left(x^2+y^2\right)+5\right]\\ Thayx^2+y^2=1,tacó:\\ 1\cdot\left(2\cdot1+5\right)=7\)