Answer:
can be factored out as: 
Step-by-step explanation:
Recall the formula for the perfect square of a binomial :
Now, let's try to identify the values of 
and 
in the given trinomial.
Notice that the first term and the last term are perfect squares:
so, we can investigate what the middle term would be considering our 
, and 
:
Therefore, the calculated middle term agrees with the given middle term, so we can conclude that this trinomial is the perfect square of the binomial:
Answer:
-3/2.
Step-by-step explanation:
To find the slope, we find the rise over run.
In this case, the rise is 6 - 3 = 3.
The run is 3 - 5 = -2.
The slope is 3 / (-2) = -3/2.
Hope this helps!
Answer:
Options (3), (4) and (5)
Step-by-step explanation:
1). a² - 9a + 7ab + 63b
= a(a - 9) + 7b(a + 9)
Now we can not solve this problem further.
Therefore, can't be factored by grouping.
2). 3a + 4ab - b - 12
= a(3 + 4b) - 1(b - 12)
We can't solve it further.
Therefore, can't be factored by grouping.
3). ab + 6b - 2a - 12
= b(a + 6) - 2(a + 6)
= (b - 2)(a + 6)
We can be factored this expression by grouping.
4). x³ + 9x²+ 7x + 63
= x²(x + 9) + 7(x + 9)
= (x² + 7)(x + 9)
Therefore, the given expression can be factored by grouping.
5). ay² + a - y² - 1
= a(y² + 1) - 1(y² + 1)
= (a - 1)(y² + 1)
This expression can be factored by the grouping method.
Options (3), (4) and (5) are the correct answers.
Answer:
30/(2x^2-x)
Step-by-step explanation:
5/(2x-1) * 6/x
Multiply the numerators
5*6 = 30
Multiply the denominatos
(2x-1) *x = 2x^2 -x
5/(2x-1) * 6/x = 30/x(2x-1) = 30/(2x^2-x)
