Question

А)Х^2-у^2+Х+у Разложите на множители!!! Б)у^3-у

Answer 1

А) х^2 - y^2 - х + y = ( x - y)•( x + y ) - ( x - y ) = ( x - y )•( x + y - 1 )
Б) y^3 - y = y•( y^2 - 1 ) = y•( y - 1 )•( y + 1 )

Answer 2

X^2-y^2+x+y=x(x+1)-y(y-1)=(x+y)(x-y)+x+y=(x+y)(x-y+1)
y^3-y=y(y^2-1)=y(y+1)(y-1)

Answer 3

I can help you with your math problems. Here is how you can factor the expressions:

А) Х^2-у^2+Х+у

This is a sum of two squares and a linear term. You can use the formula (a^2-b^2)=(a+b)(a-b) to factor the first two terms, and then look for a common factor in the resulting expression. Here are the steps:

Х^2-у^2+Х+у = (Х+у)(Х-у)+Х+у

= (Х+у)((Х-у)+1)

= (Х+у)(Х-у+1)

Б) у^3-у

This is a difference of two cubes. You can use the formula (a^3-b^3)=(a-b)(a^2+ab+b^2) to factor it. Here are the steps:

у^3-у = у(у^2-1)

= у(у+1)(у-1)

You can find more examples and explanations of factoring on this website.

: https://www.kontrolnaya-rabota.ru/s/equal-one/uproschenie-vyirazhenij/mnogiteli/