Finding the greatest common factor ( or G C F ):
G C F is the largest number that divides evenly into all the numbers.
270 : 90 = 3
360 : 90 = 4
G C F ( 270, 360 ) = 90
Answer:27x^6 /16
Step-by-step explanation:27x^3 x x^7 divided by 16x^4
then simplify the expression which will be 27x^3 x x^3 divided by 16
then calculate the product which is x^3 x x^3 which is x^6 so your answer is 27x^6/16.
Answer:
Amount left = 2040
Step-by-step explanation:
Given that:
Per year salary = 12,000
Amount spent on transport = 10%
Transport = 
= 0.1 * 12000
Transport = 1200
Tax = 5%
Tax = 0.05 * 12000
Tax = 600
Total = 1200 + 600 = 1800
Amount left = 12000 - 1800 = 10200
Food = 80% of remainder
Food = 0.8 * 10200
Food = 8160
Amount left after food = 10200 - 8160 = 2040
Hence,
Amount left = 2040
Answer:
2(4x + 1)(x + 1)
Step-by-step explanation:
Given
8x² + 10x + 2 ← factor out 2 from each term
= 2(4x² + 5x + 1)
To factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 4 × 1 = 4 and sum = + 5
The factors are + 1 and + 4
Use these factors to split the x - term
4x² + x + 4x + 1 ( factor the first/second and third/fourth terms )
= x(4x + 1) + 1 (4x + 1) ← factor out (4x + 1)
= (4x + 1)(x + 1), thus
4x² + 5x + 1 = (4x + 1)(x + 1) and
8x² + 10x + 2 = 2(4x + 1)(x + 1) ← in factored form
