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What is the difference between factoring and solving?
The difference between factoring and solving is...Factoring: The answer would be in multiplication form.Example: x²+7x+12=0 is the same as (x+3)(x+4)Solving: The answer would be what the unknown variable is equal too.Example: x²+7x+12=0 is the same as x=-3 or X=-4
Find the value of 2 numbers if their sum is 12 and their difference is 4?
x+y=12 x-y =4 x=12-4 =8 8+y=12 y=12-8 =4 so x=8 y=4 8+4=12 8-4=4
How would the expression x cubed minus 8 be rewritten using the difference of cubes?
Answer: (x - 2)(x² + 2x + 4)Factor the difference of cubes:a³ - b³ = (a - b)(a² + ab + b² )note 8 = 2³ = 8 ⇒ b = 2 , with a = xSox³ - 8= x³ - 2³= (x - 2)(x² + 2x + 2²) = (x - 2)(x² + 2x + 4)
How do you do exponents?
Instead of writing 4 x 4 x 4 = 64 you can write it in exponent form, thus: 43 and get the same answer of 64 If you see 54 it is the same as 5 x 5 x 5 x 5 = 625 (Don't assume that 54 is 5 x 4 = 20 - big difference!)
How would you write the algebraic expression for one fourth the difference of a number and 7?
The algebraic expression for one fourth the difference of a number and 7 can be written as (1/4)(x - 7), where x represents the unknown number. This expression first calculates the difference between the number and 7 by subtracting 7 from the number (x - 7), then finds one fourth of that difference by multiplying the result by 1/4.
