Answer: The answer is 2
Step-by-step explanation:
4(-2)+10=2
Answer:
x = 3 or x = 2 or x = -6
Step-by-step explanation:
Solve for x:
(x - 3) (x^2 + 4 x - 12) = 0
Split into two equations:
x - 3 = 0 or x^2 + 4 x - 12 = 0
Add 3 to both sides:
x = 3 or x^2 + 4 x - 12 = 0
The left hand side factors into a product with two terms:
x = 3 or (x - 2) (x + 6) = 0
Split into two equations:
x = 3 or x - 2 = 0 or x + 6 = 0
Add 2 to both sides:
x = 3 or x = 2 or x + 6 = 0
Subtract 6 from both sides:
Answer: x = 3 or x = 2 or x = -6
Your answer is D. 16x² - 56xy + 49y².
A perfect square trinomial is the result of a squared binomial, like (a + b)². Using this example, the perfect square trinomial would be a² + 2ab + b², as that is what you get when you expand the brackets.
Therefore, to determine which of these is a perfect square trinomial, we have to see if it can be factorised into the form (a + b)².
I did this by first square rooting the 16x² and 49y² to get 4x and 7y as our two terms in the brackets. We automatically know the answer isn't A or B as you cannot have a negative square number.
Now that we know the brackets are (4x + 7y)², we can expand to find out what the middle term is, so:
(4x + 7y)(4x + 7y)
= 16x² + (7y × 4x) + (7y × 4x) + 49y²
= 16x² + 28xy + 28xy + 49y²
= 16x² + 56xy + 49y².
So we know that the middle number is 56xy. Now we assumed that it was (4x + 7y)², but the same 16x² and 49y² can also be formed by (4x - 7y)², and expanding this bracket turns the +56xy into -56xy, forming option D, 16x² - 56xy + 49y².
I hope this helps!
2 x 2 x 2 x 3
Because you are multiplying two, four times
Answer:
a ,b d a c b d a d d b c a d b b Step-by-step explanation:
