Answer:
1 .4x2-9= 2x+3,2x-3
2 .16x2-1=4x-1,4x+1
3 .16x2-4=4(2x+1)(2x-1)
4 .4x2-1=(2x+1)(2x-1)
Step-by-step explanation:
16x² − 1 = (4x − 1)(4x + 1) ; 16x² − 4 = 4(2x + 1)(2x − 1); 4x² − 1 = (2x + 1)(2x − 1) ;
4x² − 9 = (2x + 3)(2x − 3)
16x² − 1 is the difference of squares. This is because 16x² is a perfect square, as is 1. To find the factors of the difference of squares, take the square root of each square; one factor will be the sum of these and the other will be the difference.
The square root of 16x² is 4x and the square root of 1 is 1; this gives us (4x-1)(4x+1).
16x² − 4 is also the difference of squares. The difference of 16x² is 4x and the square root of 4 is 2; this gives us (4x-2)(4x+2). However, we can also factor a 2 out of each of these binomials; this gives us
2(2x-1)(2)(2x+1) = 2(2)(2x-1)(2x+1) = 4(2x-1)(2x+1)
4x² − 1 is also the difference of squares. The square root of 4x² is 2x and the square root of 1 is 1; this gives us (2x-1)(2x+1).
4x² − 9 is also the difference of squares. The square root of 4x² is 2x and the square root of 9 is 3; this gives us (2x-3)(2x+3).
Answer:
31.2
Step-by-step explanation:
i googled it
Answer:
here it is
Step-by-step explanation:
Answer:
Step-by-step explanation:
First, you need to combine like terms in order to begin simplifying. This is done by subtracting 2x from 6x. Also, add 7 to 23.
6x + 10 - 2x = 7 + 23
4x + 10 = 7 + 23
4x + 10 = 30
Now, you have a two-step equation. Subtract 10 from both sides, and then divide by 4.
4x + 10 = 30
4x = 20
x = 5 is the final answer.
Answer:
D. 6x + 3
Step-by-step explanation:
A perimeter is just the sum of all sides of a shape.
First, write an equation to add all sides of the triangle:
(x + 4) + (3x - 2) + (2x + 1)
What is inside the parentheses is all already simplified. Also, it is addition, so the order in which we add does not matter. So, we can now get rid of the parentheses and combine like terms:
x + 3x + 2x + 4 -2 + 1
6x + 3
And that's our final answer: 6x + 3
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