M=7x-7y+4ax-4ay-5

M=7(x-y)+4a(x-y)-5

M=0+0-5=-5.

N=x(x^2+y^2)-y(x^2+y^2)+3

N=(x-y)(x^2+y^2)+3=0+3=3

a, M = 7x - 7y + 4ax - 4ay - 5

=> M = 7(x - y) + 4a(x - y) - 5

=> M = 0 + 0 - 5 = -5

b, N = x (x² + y²) - y ( x² + y²) + 3 

=> N = (x - y)(x² + y²) + 3 = 0 + 3 = 3

1. 2x = 3y-2

2x+2x = 3y

4x = 3y

=> \(\frac{x}{3}=\frac{y}{y}\Rightarrow\frac{x+y}{3+4}=\frac{14}{7}=2\)

=> \(\frac{x}{3}=2\Rightarrow x=6\)

=> \(\frac{y}{4}=2\Rightarrow y=8\)

hờ hờ vừa làm bài vừa mở olm

2.6X=5Y=X/5=Y/6=X-Y/5-6=10/-1=-10

X=-50;Y=-60

\(=\left(x-y\right)\left(x+y\right)+7\left(x-y\right)=\left(x+y+7\right)\left(x-y\right)\)

Solution:

\(S=x^2-2xy+y^2-7x+7y+19\)

\(S=\left(x-y\right)^2-7\left(x-y\right)+19\)

\(S=5^2-7\cdot5+19\)

\(S=9\)

Vậy...

\(x^2-y^2+7x-7y=\left(x^2-y^2\right)+\left(7x-7y\right)=\left(x-y\right)\left(x+y\right)+7\left(x-y\right)=\left(x-y\right)\left(x+y+7\right)\)

\(x^2-10x+25-9y^2=\left(x^2-10x+25\right)-\left(3y\right)^2=\left(x-5\right)^2-\left(3y\right)^2=\left(x-3y-5\right)\left(x+3y-5\right)\)

\(x^2-y^2+7x-7y=\left(x-y\right)\left(x+y\right)+7\left(x-y\right)=\left(x-y\right)\left(x+y+7\right)\)

\(x^2-10x+25-9y^2=\left(x-5\right)^2-\left(3y\right)^2=\left(x-5-3y\right)\left(x-5+3y\right)\)

1. x² - 10x + 25 - 9y²

<=> x² - 10x + 5² - (3y)²

<=> (x - 5)² - (3y)²

<=> (x - 5 - 3y)(x - 5 + 3y)

2. x² - y² + 7x - 7y

<=> (x - y)(x + y) + 7(x - y)

<=> (x + y + 7)(x - y)

C

xy(x - y) - 7(x - y) = (x - y)(xy - 7)