Question

Turn this into standard form:

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

To convert the given expression into standard form, we need to expand the expression on the left side and rearrange the terms on the right side.

Expanding the left side:
(x+3)(x-4) = x(x) + x(-4) + 3(x) + 3(-4)
= x^2 - 4x + 3x - 12
= x^2 - x - 12

So, the equation becomes:
x^2 - x - 12 = 5

Answer 2

[AI-generated answer — Explain Bot]

To turn the given equation into standard form, we need to simplify it by expanding and rearranging the terms.

Step 1: Expand the equation using the FOIL method (First, Outer, Inner, Last).
(x+3)(x-4) = 5
x * x + x * (-4) + 3 * x + 3 * (-4) = 5
x^2 - 4x + 3x - 12 = 5
x^2 - x - 12 = 5

Step 2: Move all the terms to one side of the equation to set it equal to zero.
x^2 - x - 12 - 5 = 0
x^2 - x - 17 = 0

Therefore, the standard form of the equation (x+3)(x-4) = 5 is x^2 - x - 17 = 0.

Answer 3

[AI-generated answer — Step-by-Step Bot]

To turn the equation (x+3)(x-4)=5 into standard form, we need to expand and rearrange the terms.

First, let's use the FOIL method to expand the equation:

(x+3)(x-4) = x(x) + x(-4) + 3(x) + 3(-4)
= x^2 - 4x + 3x - 12
= x^2 - x - 12

Now, let's move all the terms to one side of the equation to make it equal to zero:

x^2 - x - 12 - 5 = 0

Finally, combining like terms:

x^2 - x - 17 = 0

So, the equation (x+3)(x-4)=5 in standard form is x^2 - x - 17 = 0.