The sum of cubes is given as:
a³ + b³ = (a + b)(a² - ab + b²)
Example for the sum of cubes:
64x³+y³ ⇒ This is the sum of cubes because each term; 64, x³, and y³ are cube numbers
By writing each term as an expression of cube numbers, we have:
(4x)³ + (y)³ ⇒ 64 is 4³
Use the factorization of the sum of cubes, we have:
(4x + y) ( (4x)²- 4xy + y²)
(4x + y) (16x² - 4xy + y²)
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The difference of cubes can be factorized as:
(x³ - y³) = (x - y)(x² + xy + y²)
Example
(125x³ - 8y³) = (5x - 2y) ((5x)² + (5x)(2y) + (2y)²)
= (5x - 2y) (25x² + 10xy + 4y²)
Answer:
111.375
Step-by-step explanation:
each triangle are equal to each other, it equals (b x h)/2
good luck and thanks for the brainliest!
Answer:
b=7
Step-by-step explanation:
3-5b=-32
-5b=-32-3
-5b=-35
Divide both sides by -5
b=7
Answer: n = 3; n represents a remainder in a division problem.
Explanation:
1) Finding n:
i) Given: 643 = 4 × 160 + n
ii) Do the operations: 643 = 640 + n
iii) Subraction property of the equality: 643 - 640 = n
iv) Do the operations: 3 = n
Answer: n 3
2) Meaning of n
When you divide 643 by 4 the quotient is 160 and the remainder is 3, because 160 × 4 = 640, and 643 - 640 = 3.
This is, 3 is what is left when you split 643 into 4 getting 160 whole parts (plus the remainder, 3).
Answer:
-
Step-by-step explanation:
a positive multiplied by a negative will always give you an answer of a negative number. thats the only logical answer i can think of
