I've worked these problems but I was just wondering if someone could check over them to see if they're correct...if not please help!

(u-2)(u+7)
my answer: 7u^2-49u

(5t-4)^2
my answer: 25t^2-40+16

Thank you :)

hmm, well use either FOIL or the distributive property. I will use distributive property:

(u-2)(u+7)
my answer: 7u^2-49u
-----------------------
u(u+7) -2(u+7)
u^2 + 7u - 2u - 14
=
u^2 + 5 u - 14
===============================

25t^2-40+16

You forgot a t
25t^2-40t+16

Sure, I'd be happy to help! Let's go through each problem and check if your answers are correct.

1. (u-2)(u+7)
To simplify this expression, we can use the FOIL method. FOIL stands for First, Outer, Inner, Last.
Multiply the First terms: u * u = u^2
Multiply the Outer terms: u * 7 = 7u
Multiply the Inner terms: -2 * u = -2u
Multiply the Last terms: -2 * 7 = -14

Now, combine all the terms:
u^2 + 7u - 2u - 14

Simplifying further, we can combine like terms:
u^2 + 5u - 14

So, the correct answer for (u-2)(u+7) is u^2 + 5u - 14.

2. (5t-4)^2
To square this binomial expression, we can use the identity (a-b)^2 = a^2 - 2ab + b^2.

Plugging in the values from the given expression:
(5t)^2 - 2(5t)(4) + (4)^2

Simplifying further:
25t^2 - 40t + 16

So, the correct answer for (5t-4)^2 is 25t^2 - 40t + 16.

I hope that helps! Let me know if you have any further questions.