Answer:
8t^3-36t^2+54t-27
Step-by-step explanation:
(2t-3)^3
(2t-3)(2t-3)(2t-3)
Multiply the first two terms
(4t^2 -6t -6t+9)(2t-3)
Combine like terms
( 4t^2 -12t +9) ( 2t-3)
Multiply
2t*( 4t^2 -12t +9) -3 ( 4t^2 -12t +9)
Distribute
8t^3 -24t^2 +18t-12t^2 +36t-27
Combine like terms
8t^3-36t^2+54t-27
Answer:
16
Step-by-step explanation:
To solve this equation, we need the formula for perfect squares:
or
<em>this is the formula we will use because the signs match the one in the question</em>.
Knowing these, we can set up an equation that assumes that the answer we will end up with is a perfect square.
Work:
- this is the setup for being able to solve for the unknown
, now we need to solve for .
(I replaced 
with 
because I'm setting up this question to be a perfect square).
- multiply the left side. Remember that your answer will not be
, but 
.
- Divide like terms and isolate the variable. In this case,
and 
are on both sides, so dive them and they will be canceled out.
- divide by
and you will have your value for .
- Now we plug into our original equation equation for perfect squares.
Our final answer is 16.
Answer:
3 ×10=30
Step-by-step explanation:
multiply 3 times 10
Answer: See below
Explanation:
(2x + 2y)(x - y) + (2x - 2y)(x+y)
= 2(x+y)(x-y) + 2(x-y)(x+y)
= 2(x^2 - y^2) + 2(x^2 - y^2)
= (2 + 2)(x^2 - y^2) (combine like terms)
= 4(x^2 - y^2)
