Simplify.............
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A composite number is a number which has factors other than unity and the number itself. Examples: 4, 6, 15, 100 and so on. It follows from this definition that the smallest composite number is 4 since the factors of 4 are: 1,2 and 4.
A prime number is a number whose sole divisors (factors) are unity (1) and the number itself. Examples of prime numbers: 2, 3, 5, 19, 71, etc. Therefore the smallest prime number = 2 since its divisors are only 1 and 2.
To find HCF between 2 and 4, we write
2 = 2¹
4 = 2²
It is evident from above that the Highest Common Factor or HCF between 4 and 2 is 2.
Hence, the HCF of the smallest composite number and the smallest prime number is 2
A prime number is a number whose sole divisors (factors) are unity (1) and the number itself. Examples of prime numbers: 2, 3, 5, 19, 71, etc. Therefore the smallest prime number = 2 since its divisors are only 1 and 2.
To find HCF between 2 and 4, we write
2 = 2¹
4 = 2²
It is evident from above that the Highest Common Factor or HCF between 4 and 2 is 2.
Hence, the HCF of the smallest composite number and the smallest prime number is 2
Answered by
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1) (x+2)³
using,
(a+b)³=a³+3a²b+3ab²+b³
(x+2)³=x³+3(x)²(2)+3(x)(2)²+(2)³
=x³+6x²+12x+8
2) (x-2)³
using,
(a-b)³=a³-3a²b+3ab²-b³
(x-2)³=x³-3(x)²(2)+3(x)(2)²-(2)³
=x³-6x²+12x-8
3) x³-(2)³
using,
a³-b³=(a-b)³+3a²b-3ab²
x³-2³=(x-2)³+3(x)²(2)-3(x)(2)²
=(x-2)³+6x²-12x
4) x³+2³
using,
a³+b³=(a+b)³-3a²b-3ab²
x³+2³=(x+2)³-3(x)²(2)-3(x)(2)²
=(x+2)³-6x²-12x
hope it helps you....
using,
(a+b)³=a³+3a²b+3ab²+b³
(x+2)³=x³+3(x)²(2)+3(x)(2)²+(2)³
=x³+6x²+12x+8
2) (x-2)³
using,
(a-b)³=a³-3a²b+3ab²-b³
(x-2)³=x³-3(x)²(2)+3(x)(2)²-(2)³
=x³-6x²+12x-8
3) x³-(2)³
using,
a³-b³=(a-b)³+3a²b-3ab²
x³-2³=(x-2)³+3(x)²(2)-3(x)(2)²
=(x-2)³+6x²-12x
4) x³+2³
using,
a³+b³=(a+b)³-3a²b-3ab²
x³+2³=(x+2)³-3(x)²(2)-3(x)(2)²
=(x+2)³-6x²-12x
hope it helps you....
PARI1111111:
thank you sis...
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