how do you find the difference of squares?
239462
When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5). This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).
861515
['Subtract the next lower perfect square.', 'Divide by the square root of the next lower perfect square.', 'Divide by 2.', 'Add to the square root of the next lower perfect square.']
787847
Just use abs(x - y) . This'll return the net difference between the two as a positive value, regardless of which value is larger.
1122044
You can make every odd number by taking consecutive squares. (n+1)^2 - n^2 = 2n+1, every odd number can be written in the form 2n+1. ... Thus, a number n can only be a difference of two squares if it has two factors of the form (a + b) and (a - b), where a + b \geq \sqrt{n} and a - b \leq \sqrt{n}.
1421228
Rewrite 9x2 9 x 2 as (3x)2 ( 3 x ) 2 . Rewrite 1 as 12 . Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) a 2 - b 2 = ( a + b ) ( a - b ) where a=3x a = 3 x and b=1 .
1269442
Since the difference is the same for each set, you can say that the common difference is 3. Therefore, you can say that the formula to find the common difference of an arithmetic sequence is: d = a(n) - a(n - 1), where a(n) is the last term in the sequence, and a(n - 1) is the previous term in the sequence.
1398917
['step 1: Square the First Term,', 'step 2: Double the Product of the 2 terms ,', 'step 3: Square the Last Term. So to find (x – 5)² : square x, multiply 2 times x times – 5, square (– 5)']
23311
['Work out the mean.', 'Then for each number: subtract the Mean and square the result.', 'Then work out the mean of those squared differences. To work out the mean, add up all the values then divide by how many. But hang on ... ... ', 'Take the square root of that:']
11944
['Work out the Mean (the simple average of the numbers)', 'Then for each number: subtract the Mean and square the result.', 'Then work out the mean of those squared differences.', 'Take the square root of that and we are done!']
1326730
Squaring a number means multiplying it by itself once. So, to find the square of 9, you do 9 x 9 = 81. Therefore, The square of 9 (9^2) is 81.
805724
First, work out the difference (decrease) between the two numbers you are comparing. Next, divide the decrease by the original number and multiply the answer by 100.
7341
To add and subtract square roots, first simplify terms inside the radicals where you can by factoring them into at least 1 term that's a perfect square. When you do this, take the square root of the perfect square, write it outside of the radical, and leave the other factor inside.
1012828
Incredibly, the answer is that squares A and B are the same color, but your brain's perception of them being different is based on the surrounding color and ... Unless A and B are the same size and the same shape and have the same values in exactly the same places, they are not equal.
402269
The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.
307158
Area of a square = side times side. Since each side of a square is the same, it can simply be the length of one side squared. If a square has one side of 4 inches, the area would be 4 inches times 4 inches, or 16 square inches.
1354407
The basic difference between a cube and a square is, a cube is a 3D figure (having 3 dimensions) i.e. length, breadth and height while a square has only 2 dimensions i.e. length and breadth. The 2-dimensional (2D) shape (like a circle, square, triangle, etc.) that a cube is made of is squares.
97481
Every difference of squares problem can be factored as follows: a2 – b2 = (a + b)(a – b) or (a – b)(a + b). So, all you need to do to factor these types of problems is to determine what numbers squares will produce the desired results.