6: =x^2-7xy+5xy-35y^2

=x(x-7y)+5y(x-7y)

=(x-7y)(x+5y)

7: =x^2-2xy-8xy+16y^2

=x(x-2y)-8y(x-2y)

=(x-2y)(x-8y)

8: =3x^2-6xy-4xy+8y^2

=3x(x-2y)-4y(x-2y)

=(x-2y)(3x-4y)

9: =4x^2+4xy+y^2-16y^2

=(2x+y)^2-16y^2

=(2x+y-4y)(2x+y+4y)

=(2x-3y)*(2x+5y)

10: =2(x^2+5xy+4y^2)

=2(x+y)(x+4y)

11: =5x(x+2y+y^2)

Làm tính nhân

(4x³+3xy²-2y³).(3x²-5xy-6y²)

=12x⁵+12y⁵-20x⁴y-36x²y³-8xy⁴

Phân tích đa thức thành nhân tử

10x³+5x²y-10x²y-10xy²+5y³

=10x³-5x²y-10xy²+5y³

=5(2x³-x²y-2xy²+y³-)

a ) \(y\left(x-1\right)=x^2+2\)

\(\Leftrightarrow x^2+2-y\left(x-1\right)=0\)

\(\Leftrightarrow x^2-1-y\left(x-1\right)+3=0\)

\(\Leftrightarrow\left(x-1\right)\left(x+1\right)-y\left(x-1\right)=-3\)

\(\Leftrightarrow\left(x-1\right)\left(x+1-y\right)=-3\)

...

b ) \(3xy-5x-2y=3\)

\(\Leftrightarrow9xy-15x-6y=9\)

\(\Leftrightarrow9xy-15x-6y+10=19\)

\(\Leftrightarrow3y\left(3x-2\right)-5\left(3x-2\right)=19\)

\(\Leftrightarrow\left(3y-5\right)\left(3x-2\right)=19\)

...

c ) \(x^2-10xy-11y^2=13\)

\(\Leftrightarrow x^2-11xy+xy-11y^2=13\)

\(\Leftrightarrow x\left(x-11y\right)+y\left(x-11y\right)=13\)

\(\Leftrightarrow\left(x+y\right)\left(x-11y\right)=13\)

...

d ) \(xy-2=2x+3y\)

\(\Leftrightarrow xy-2-2x-3y=0\)

\(\Leftrightarrow y\left(x-3\right)-2\left(x-3\right)-8=0\)

\(\Leftrightarrow\left(y-2\right)\left(x-3\right)=8\)

...

e ) \(5xy+x+2y=7\)

\(\Leftrightarrow5xy+x+2y-7=0\)

\(\Leftrightarrow5x\left(y+\dfrac{1}{5}\right)+2\left(y+\dfrac{1}{5}\right)-\dfrac{37}{5}=0\)

\(\Leftrightarrow\left(5x+2\right)\left(y+\dfrac{1}{5}\right)=\dfrac{37}{5}\)

\(\Leftrightarrow\left(5x+2\right)\left(5y+1\right)=37\)

...

P/s : Vì bài dài nên việc tìm x , y ( lập bảng ) bạn tự làm nhé

Thanks

Hi , câu này mik trả lời rồi mà bạn :D

a,

P = M + N

=> P = (-2x + 4y + 3x^2y - 10xy² + 3) + (-8x²y + 5x - y + 5xy² - 1)

P = (-2x) + 4y + 3x²y - 10xy² + 3 + (-8x²y) + 5x - y + 5xy² - 1

P = [(-2x) + 5x] + (4y - y) + (3x²y - 8x²y) - (10xy² + 5xy²) + (3 - 1)

P = 3x + 3y + (-5x²y) - 15xy² + 2 = 3(x + y) + (-5x²y) - 15xy² + 2