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\(\left(2y-5x\right)^3+\left(5x+y\right)^3\)
\(=\left(2y-5x+5x+y\right)\text{ }\left[\left(2y-5x\right)^2-\left(2y-5x\right)\left(5x+y\right)+\left(5x+y\right)^2\right]\)\(=y.\left(4y^2-20xy+25x^2-10xy-2y^2+25x^2+5xy+25x^2+10xy+y^2\right)\)\(=y.\left(3y^2-15xy+75x^2\right)\)
Tham khảo nhé~
ko ghi đề bài nha làm luôn
a) \(\frac{\left(2x+2y\right)+\left(5x+5y\right)}{\left(2x+2y\right)-\left(5x+5y\right)}=\frac{2\left(x+y\right)+5\left(x+y\right)}{2\left(x+y\right)-5\left(x+y\right)}=\frac{\left(2+5\right)\left(x+y\right)}{\left(2-5\right)\left(x+y\right)}=\frac{-7}{3}\)
b)\(\frac{4x\left(x-y\right)}{5x^2\left(x-y\right)}=\frac{4x}{5x^2}=\frac{4}{5x}\)
a) \(3x\left(x-2\right)-5x\left(1-x\right)-8\left(x^2-3\right)\)
\(=3x^2-6x-5x+5x^2-8x^2+24\)
\(=24-11x\)
b) \(\left(4x^2-3y\right)\cdot2y-\left(3x^2-4y\right)\cdot3y\)
\(=8x^2y-6y^2-9x^2y+12y^2\)
\(=6y^2-x^2y\)
c) \(3y^2\left[\left(2x-1\right)+y+1\right]-y\left(1-y-y^2\right)+y\)
\(=3y^2\cdot\left(2x-1+y+1\right)-y\cdot\left(1-y-y^2\right)+y\)
\(=6xy^2-3y^2+3y^3+3y^2-y+y^2+y^3+y\)
\(=4y^3+y^2+6xy^2\)
Sửa đề:
Cách 1:
\(\left(5x-1\right)^2+2.\left(1-5x\right).\left(4+5x\right)+\left(5x+4\right)^2\)
\(=\left(1-5x\right)^2+2.\left(1-5x\right).\left(5x+4\right)+\left(5x+4\right)^2\)
\(=\left(1-5x+5x+4\right)^2\)
\(=5^2\)
\(=25\)
Cách 2:
\(\left(5x-1\right)^2+2.\left(1-5x\right).\left(4+5x\right)+\left(5x+4\right)^2\)
\(=\left(5x-1\right)^2-2.\left(5x-1\right).\left(5x+4\right)+\left(5x+4\right)^2\)
\(=\left(5x-1-5x-4\right)^2\)
\(=\left(-5\right)^2\)
\(=25\)
Tớ làm tiếp ko viết lại đề nha~
\(=27x^3+27x^2y+9xy^2+y^2-\left(5x-y\right)\left(5x+y\right)^2+x^3+6x^2y+12xy^2+8y^3\)\(=28x^3+33x^2y+21xy^2+9y^3-\left(25x^2-y^2\right)\left(5x+y\right)\)(1)
Ta có: \(\left(25x^2-y^2\right)\left(5x+y\right)=125x^3+25x^2y-5xy^2-y^3\)
Thay vào ta có: \(\left(1\right)=28x^3+33x^2y+21xy^2+9y^3-125x^3-25x^2y+5xy^2+y^3\)\(=-97x^3+8x^2y+26xy^2+10y^3\)
a: \(=49x^2-64-10\left(4x^2+12x+9\right)+5x\left(9x^2-12x+4\right)+4x\left(x^2-10x+25\right)\)
\(=49x^2-64-40x^2-120x-90+45x^3-60x^2+20x+4x^3-40x^2+100x\)
\(=49x^3-91x^2-154\)
b: \(=27x^3+189x^2+441x+343-125x^3+y^3+x^3+6x^2y+12xy^2+8y^3\)
\(=-97x^3+189x^2+441x+6x^2y+12xy^2+9y^3+343\)
\(\left(2y-5x\right)^3+\left(5x+y\right)^3\)
\(=\left[8y^3-3.4y^2.5x+3.2y.25x^2-125x^3\right]\) \(+\left[125x^3+3.25x^2.y+3.5x.y^2+y^3\right]\)
\(=8y^3-60xy^2+150x^2y-125x^3\) \(+125x^3+75x^2y+15xy^2+y^3\)
\(=9y^3-45xy^2+225x^2y\)
học tốt