Question

(y-8)(y+b)-((y-6)в квадрате)

Answer 1

Ответ:

$(y - 8)(y+b)-(y-6)^2\\y^2 - yb - 8y - 8b - (y^2 - 12x + 36)\\y^2 - yb - 8y - 8b - y^2 + 12x - 36\\-yb - 8y - 8b + 12x - 36 \\-yb - 8 (y + b) + 12 (x - 3)$

Что-то я не до конца не понял что тут нужно сделать. Это пример или уравнение? Какое вообще задание?

Answer 2

To simplify the expression, let's expand and combine like terms:

(y - 8)(y + b) - (y - 6)^2

Expanding the first term using the distributive property:

= y(y + b) - 8(y + b) - (y - 6)(y - 6)

= y^2 + by - 8y - 8b - (y^2 - 12y + 36)

Now, let's simplify by combining like terms:

= y^2 + by - 8y - 8b - y^2 + 12y - 36

Combining similar terms:

= (y^2 - y^2) + (by - 8y + 12y) + (-8b - 36)

Simplifying further:

= 0 + (by + 4y) + (-8b - 36)

= by + 4y - 8b - 36

So, the simplified form of the expression (y - 8)(y + b) - (y - 6)^2 is by + 4y - 8b - 36.