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It requires an understanding of imaginary numbers, specifically, the square root of negative one, which is abbreviated as i.
a^2 - b^2 = (a - b)(a + b)
a^2 + b^2 = (a - bi)(a + bi)
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Factor the expression x squared - eighty one?
This is a difference of two square, so you can apply the factoring rule for the difference of two squares.
What number is a perfect square whose only prime factor is 2 and is a factor of 32 and has a sum of its digits that is odd?
It is a factor of 32, which means it is one of 1, 2, 4, 8, 16, and 32. The perfect squares among the factors of 32 are 4 and 16. Of those two, the only one with a sum of digits that is odd is 16.
The product of the sum and difference of two terms is equal to the what of the squares of the terms?
The difference.
What is a binomial factor?
Binomials are algebraic expressions of the sum or difference of two terms. Some binomials can be broken down into factors. One example of this is the "difference between two squares" where the binomial a2 - b2 can be factored into (a - b)(a + b)
The sum of the squares of two consecutive positive even numbers is 52 What is the smaller number?
4.
How do you factor 121a2 plus 144b2?
There is a formula for the difference of two squares. The sum of two squares doesn't factor.
What is the rule which tests whether a prime number can be written as the sum of two different squares?
It is Fermat's theorem on the sum of two squares. An odd prime p can be expressed as a sum of two different squares if and only if p = 1 mod(4)
How do you factor X squared plus 36?
x2 + 36 cannot be factored. You can only factor the difference of two squares, not the sum.
How do you factor the sum and difference of two squares?
a^2 - b^2 = (a - b)(a + b) a^2 + b^2 doesn't factor rationally.
The sum of two positive numbers is 4 and the sum fo their cubes is 28 What is the sum of their squares?
The sum of their squares is 10.
Explain the square of the sum of two numbers is different from the sum of the squares of two numbers?
split 10 in two parts such that sum of their squares is 52. answer in full formula
What are the kinds of factor?
factoring whole numbers,factoring out the greatest common factor,factoring trinomials,factoring the difference of two squares,factoring the sum or difference of two cubes,factoring by grouping.
Can 8081 be the sum of two perfect squares?
8081 can be the sum of two perfect squares because its perfect squares are 41 x41+80x80=1681+6400. Answer=1681+6400
How do you factor -3x3-33x?
First take out -3x to make-3x(x2+11)If you're not using imaginary numbers, then you're done. Otherwise factor x2+11 using the sum of two squares rule.-3x(x-sqrt(11)i)(x+sqrt(11)i)
What is the formula for solving single factor ANOVA?
There is no single formula.It is necessary to calculate the total sum of squares and the regression sum of squares. These are used to calculate the residual sum of squares. The next step is to use the appropriate degrees of freedom to calculate the mean regression sum of squares and the mean residual sum of squares.The ratio of these two is distributed as Fisher's F statistics with the degrees of freedom which were used to obtain the average sums of squares. The ratio is compared with published values of the F-statistic since there is no simple analytical form for the integral.
Two numbers have a sum of thirteen what is the minimum product of the sum of their squares?
85
Two numbers have a sum of 20 if their squares is a minimum find the numbers Complete the square to find the minimum?
Sum of squares? Product?
