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3 years ago

Find the HCF and LCM of 160 and 252 by prime factorisation method and verify that HCF x LCM = Product of the two given numbers.

Mathematics

1 answer:

MariettaO [177]3 years ago

7 0

Answer:

HCF=4

LCM=10080

HCF x LCM = Product of the two given numbers is verified because 403200=40320

Step-by-step explanation:

HCF of 160 and 252

HCF is the product of common prime factors

Prime Factorisation of 160: 2x2x2x2x2x5

Prime Factorisation of 252: 2x23x3x7

HCF= 2x2

HCF=4

40 and 63 doesn't come in any other table together so,

HCF= 2 x 2 = 4

Now, finding LCM of 160 and 252

LCM is the product of all factors of both numbers, while if any factor is common, it is considered once.

Prime Factorisation of 160: 2x2x2x2x2x5

Prime Factorisation of 252: 2x23x3x7

In the given factors 2x2 is common so, it is considered once.

LCM= 2x2x2x2x2x3x5x7

LCM= 10080

Now, checking:

HCF x LCM = Product of the two given numbers.

4x10080=160x252

403200=40320

So, It is verified that HCF x LCM = Product of the two given numbers.

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A square garden plot has an area of 75 ft2.
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First, a square area (A) = length (l)^2
A(ft2) = l^2 --> so l(ft) = square root (sr) of A
l = srA = sr75
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3 years ago

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Answer:

2: 1/25

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-2: -1/25th

Step-by step

number 2 on the number line is: 1/25

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-1 on the number line: -1/5

number one on the number line is 1/5th so -1 should be the opposite

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3 years ago

Which of the following shows that polynomials are closed under subtraction when polynomial 5x − 6 is subtracted from 3x2 − 6x 2?

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The polynomials are closed under subtraction when polynomial 5x − 6 is subtracted $\rm 3x^2-6x+2$ from is $\rm 3x^2 - 11x + 8$ will be a polynomial.

<h3>What is polynomial?</h3>

Polynomial is an algebraic expression that can involve variables with nonnegative integer terms and constants.

Given

Polynomial 5x -6 and $\rm 3x^2-6x+2$ .

Similar terms are terms having the same variables with the same degree.

When we subtract polynomials, we combine like terms: 3x² is the only x² term.

We have -6x and subtract 5x from it; this gives us -11x.

We have 2 and subtract -6 from it; when we subtract a negative, we add the opposite, which means we have 2--6=2+6=8.

Therefore,

The polynomials are closed under subtraction when polynomial 5x − 6 is subtracted from 3x2 − 6x+ 2 is;

$\rm= 5x-6-(-3x^2-6x+2)\\\\=5x-6+3x^2+6x-2\\\\=3x^2+11x-8$

Hence, the polynomials are closed under subtraction when polynomial 5x − 6 is subtracted $\rm 3x^2-6x+2$ from is $\rm 3x^2 - 11x + 8$ will be a polynomial.

To know more about Polynomial click the link given below.

brainly.com/question/13898484

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