t2 - 36 = (t - 6)(t + 6)
This pattern is often called the difference of squares.
That doesn't factor neatly. Applying the quadratic formula, we find two real solutions: 3 plus or minus -1.75 times the square root of 3 t = -0.0310889132455352 t = 6.0310889132455352
That doesn't factor neatly. Applying the quadratic formula, we find two imaginary solutions: (1 plus or minus the square root of -191) divided by 24t = 0.0416666 repeating + 0.5758447900452189it = 0.0416666 repeating - 0.5758447900452189iwhere i is the square root of negative one.
The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
There are four terms in the expression: 4wt, 2wh, 6it and 3ih.4wt and 2wh have 2w in common and 6it and 3ih have 3i in common.4wt + 2wh can be written as 2w(t + h) and 6it + 3ih can be written as 3i(t + h).So the whole algerbraic expression can be written as:2w(t + h) + 3i(t + h)Now consider that 2w(t + h) and 3i(t + h) are two new terms and both have (t + h) in common.Rewriting the expression we get:(2w + 3i)(t + h).So, the required factors are (2w + 3i) and (t + h).
t4-81 is a difference of 2 squares and can be written as (t2-9)(t2+9) t2+9 can't be further factorised but t2-9 is a difference of 2 squares again and can be factorised to (t+3)(t-3) so the factors of t4-81 are :(t2+9)(t+3)(t-3) Hope this helps :-) I believe the answer you are looking for is (t - 3)(t + 3)(t 2 + 9)
(t + 3)(t - 15)Ask yourself, what factors of - 45 add up to - 12 ?t = - 3t = 15
28 t2 - 17 t - 3 = (7t + 1) x (4t - 3)
15t2 squared-t-15t+3=15t squared-14t+3
(t + 1)(2t - 3)
t2+ t - 42 it can't be simplified anymore
(4x - t2)= [(2√x)2 - t2] (This is now the difference of squares)= (2√x - t)(2√x + t)
"T squared" typically refers to the square of the variable "T" in mathematics, which means T multiplied by itself. When you see "T squared" and "T squared" together, it could indicate a comparison or relationship between two different quantities, both squared. This could be part of an equation or formula where both T and another variable are squared and compared in some way. It's important to consider the context in which these terms are used to fully understand their meaning and significance in the given situation.
n2 - 100t write t = (√t)2 = n2 - (10√t)2 = (n - 10√t)(n + 10√t)
The square root of 25a squared is 5a. The square root of 16 is 4.So the answer is (5a+4)(5a-4)
cos(t) - cos(t)*sin2(t) = cos(t)*[1 - sin2(t)] But [1 - sin2(t)] = cos2(t) So, the expression = cos(t)*cos2(t) = cos3(t)
That's one term. You need at last two to find an LCM. That factors to t(t + 2)(t + 2)
_t(5t squared t+)