Q. 35.0( 2 Votes )

# Explain each of the patterns below and write the general principle in algebra.

Answer :

using identity, a^{2} - b^{2} = (a + b)(a-b), in the numerator.

Generally, we can write,

where, n can be any natural number.

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Explain each of the patterns below and write the general principle in algebra.

Kerala Board Mathematics Part-1

The sum of the square of a number and one, divided by the difference of 1 from the square gives What is the number?

Kerala Board Mathematics Part-1Explain each of the patterns below and write the general principle in algebra.

Kerala Board Mathematics Part-1

The sum of a number and its square is one and a half times their difference. What is the number?

Kerala Board Mathematics Part-1Look at these calculations:

i) Take some more fractions equal to and form fractions by multiplying the numerators and denominators by 3 and 4 and adding.

Do you get fractions equal to

ii) Take some other pairs of equal fractions and check this

iii) In all these, instead of multiplying numerators and denominators by 3 and 4, multiply by some other numbers and add. Do you still get equal fractions?

iv) Explain why, if the fraction is equal to the fraction then for any pair of natural numbers m and n, the fractions is equal to

Kerala Board Mathematics Part-1Explain each of the patterns below and write the general principle in algebra.

Kerala Board Mathematics Part-1