(x2 + 1)(x2 - 2)
(x squared plus the square root of 2) times (x squared minus the square root of 2).
3x squared minus 25x minus 28
2m^2 - 8 -First you should factor out a two. --> 2(m^2-4) -You now have something squared minus something else squared; You have m squared minus 2 squared. Whenever you have something squared minus something squared as you do in this case, there is a simple rule to remember: You can reduce that expression into the quantity of the square root of the first number or variable plus the square root of the second number or variable Times the quantity of the square root of the first number or variable minus the second number or variable squared. --> In the case of your expression: ----> 2(m+2)(m-2)<-----
The square root of 25a squared is 5a. The square root of 16 is 4.So the answer is (5a+4)(5a-4)
There are no rational factors.
Remember to factor out the GCF of the coefficients if there is one. A perfect square binomial will always follow the pattern a squared plus or minus 2ab plus b squared. If it's plus 2ab, that factors to (a + b)(a + b) If it's minus 2ab, that factors to (a - b)(a - b)
(2x - 1)(2x + 3)
The square root of 28 minus the squared root of 7 =±2.64575131
2(q^2 - 5) or 2(q - the square root of 5)(q + the square root of 5)
(a + 3)(a - 3)
That doesn't factor neatly. Applying the quadratic formula, we find two imaginary solutions: 1 plus or minus i where i is the square root of negative one.