Question

Y3-49y=y(y2-49y) так ? -3a2-6ab-3b2=-3(a2-2ab=b)=(a-b)2

Answer 1

У^3-49у=у(у^2-49)=у(у-7)(у+7)
-3а^2-6ав-3в^2=-3(а^2+2ав+в^2)=
=-3(а+в)((а+в)

Answer 2

Let's break down the equations step by step:

1. Y3-49y=y(y2-49y) To simplify this equation, we can factor out a common factor of y: y(y2 - 49) - y(y2 - 49y)

Now, we can see that both terms have a common factor of (y2 - 49). Factoring it out, we get: (y2 - 49)(y - 1)

So the simplified equation is: (y2 - 49)(y - 1).

2. -3a2 - 6ab - 3b2 = -3(a2 - 2ab + b) Here, we have a quadratic expression on the left side and a factored form on the right side. Let's simplify it step by step:

First, let's distribute -3 to the terms inside the parentheses on the right side: -3(a2) + 3(2ab) - 3(b)

This simplifies to: -3a2 + 6ab - 3b

Now, let's compare it to the left side of the equation: -3a2 - 6ab - 3b2

We can see that the left side has an extra term, -3b2. So the equation is not correct as it stands.

If you meant to write: -3a2 - 6ab - 3b2 = -3(a2 - 2ab + b2)

Then we can proceed with simplifying it: -3a2 - 6ab - 3b2 = -3a2 + 6ab - 3b2

Now we can observe that the left and right sides of the equation are the same, so this equation is correct. It simplifies to: -3a2 - 6ab - 3b2 = -3a2 + 6ab - 3b2

Further simplification is not possible since the expression on both sides is already in its simplest form.

Please double-check your equations to ensure accuracy.