Question

(y+2)(y-6)+(y+3)(y-4)​

Answer 1

Ответ:

$2y^2-5y-24$

Объяснение:

$(y+2)(y-6)+(y+3)(y-4)=$

$=y^2\boldsymbol{-6y+2y}\underline{-12}+y^2\boldsymbol{-4y+3y}\underline{-12}=$

$=2y^2\boldsymbol{-5y}\underline{-24}$

Answer 2

To simplify the expression (y+2)(y-6) + (y+3)(y-4), we can expand it using the distributive property and then combine like terms. Let's do that:

(y+2)(y-6) + (y+3)(y-4)

Expanding the first term: = (y * y) + (y * -6) + (2 * y) + (2 * -6) = y^2 - 6y + 2y - 12

Expanding the second term: = (y * y) + (y * -4) + (3 * y) + (3 * -4) = y^2 - 4y + 3y - 12

Combining like terms: = y^2 - 6y + 2y - 12 + y^2 - 4y + 3y - 12 = y^2 + y^2 - 6y - 4y + 2y + 3y - 12 - 12 = 2y^2 - 5y - 24

Therefore, (y+2)(y-6) + (y+3)(y-4) simplifies to 2y^2 - 5y - 24.