4x2 - 12x + 9 = 4x2 - 6x - 6x + 9 = 2x(2x - 3) - 3(2x - 3)
= (2x - 3)(2x - 3) or (2x - 3)2
Oh, what a happy little question! When we see "3a squared," we simply need to multiply 3 by a and then square the result. So, 3a squared is the same as 3 times a times a, which simplifies to 3a^2. Just like painting a beautiful landscape, math can be a lovely adventure of discovery and creativity.
No. You need at least four.
To solve a system of equations like 3x-2y=-7, you typically need another equation to find a unique solution. If there is only one equation given, the system is underdetermined and has infinite solutions. However, if you have additional information or constraints, you can potentially narrow down the possible solutions. In this case, without another equation or constraint, the system is unsolvable as it is currently presented.
2y2 - 2y - 24 has the factors (2y + 6) and (y - 4) There is a formula, but I always use trial and error. The factors of the non-x element need to be such that they can be added to give the middle element. So when you get 24, then you need to be looking at 2,12 - 3,8 - 4,6 When both the second and third element are minus values then there is a plus and a minus in the factors.
To "evaluate" an expression, you need to know the value for the variables.
you cant really simpliffy that expression you need an equation so just write 'cannot simplify' or 'already in simplest form'
The question contains an expression, not an equation (nor inequality). An expression cannot be solved. Without the value of x, it cannot be evaluated. And, since the numerator and denominator have no common factor, it cannot be simplified. You need to consider what exactly it is that you want a resubmit a question that makes sense.
You could not.1 - 2cos2theta is an expression which cannot be solved nor evaluated without information about theta. If you need to show its equivalence to another expression then it is necessary to know what the other expression is.
To evaluate it you need to know both b and a. But it is possible to factorise it as follows: b2-a2 = (b-a)*(b+a)
-- The number that (x2-y2) represents depends on the values of 'x' and 'y', which you haven't seen fit to include. -- When (x2-y2) is factored, it can be represented as [ (x+y) times (x-y) ], which is often easier to evaluate, or integrate, or differentiate, than the original expression is. But you still need to know the values of 'x' and 'y'.
X squared minus 5 is not necessarily prime. For instance; if x=3, then x squared minus 5 is 4, and 4 is not prime. Please consider this addition to the above answer. I opted to keep the original answer there for a reason... Whether x^2-5 is prime depends not on the values of x that you plug into the expression, but rather on the primality of the expression itself. In other words, the expression's primality (primeness) is based on the presence or absence of RATIONAL ROOTS. x^2-5 can be factored into (x+√5)(x-√5), making x=±√5. √5 is IRRATIONAL, and since no root of the original expression is rational, the original expression is PRIME. It is ALWAYS PRIME. For the sake of improved clarity, consider the following examples: x^2-4 is NOT PRIME because it can be represented by (x+2)(x-2), making x=±2, both of which are RATIONAL ROOTS. x^2-3 is PRIME because it can be represented by (x+√3)(x-√3), making x=±3, both of which are IRRATIONAL. I hope this helps! Please ask for clarification if you need it, as well as for any other form of assistance... including other questions.
( x - y )2There isn't enough information to answer this question because they have two squared variables and you do not know what is being squared. You would first need to either know the value of one of the variables and an equation of the value of both of the variables before you would be able to factor.
n2 - 11n - 26what two factors of - 26 add up to - 11?(n + 2)(n - 13)===========
There's nothing to solve. If it equaled something, you could solve it. For example, if x^2 - 28 = 0, then x = the square root of 28, which simplifies to plus or minus 2 times the square root of 7.
An equivalent expression to 54 plus 18x would be 18x + 54, as addition is commutative and the order of the terms can be rearranged without changing the value of the expression. Additionally, this expression can be simplified further by factoring out the common factor of 18 to get 18(x + 3). This final expression represents the original expression in a more simplified form.
The minus (unary) operator is of lower precedence than the exponent. To force the square of a negative on some calculators you may need to surround the number in parentheses. E.g.
Oh, what a happy little question! When we see "3a squared," we simply need to multiply 3 by a and then square the result. So, 3a squared is the same as 3 times a times a, which simplifies to 3a^2. Just like painting a beautiful landscape, math can be a lovely adventure of discovery and creativity.