Question

(3x+5)(x-2)=3x^2+x-4

Answer 1

3х^2-6х+5х-10=3х^2+х-4

-6х+5х-х=10-4

-2х=6

х=-3

Answer 2

Let's verify if the given expression, (3x+5)(x-2), indeed simplifies to 3x^2+x-4.

To simplify the expression (3x+5)(x-2), we will use the distributive property, which states that for any real numbers a, b, and c:

(a + b) * c = a * c + b * c

So applying this property to the given expression:

(3x + 5)(x - 2) = 3x * (x - 2) + 5 * (x - 2)

Now, we'll continue simplifying:

1. 3x * (x - 2) = 3x^2 - 6x
2. 5 * (x - 2) = 5x - 10

Now, combining the results:

(3x + 5)(x - 2) = 3x^2 - 6x + 5x - 10

Next, we can combine the like terms (-6x and +5x):

(3x + 5)(x - 2) = 3x^2 - x - 10

So, the simplified expression is 3x^2 - x - 10, not 3x^2 + x - 4.

It appears there was a mistake in the initial statement. The correct simplified expression for (3x+5)(x-2) is 3x^2 - x - 10.