what does the following equation represent? explain
p2+q2+2pq

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Solution

The equation of p² + 2pq + q² = 1 represents the genotypic frequencies of a population, when it is in Hardy-Weinberg equilibrium.

According to this law, the frequency of occurrence of alleles of a gene in a population remains constant through generations unless disturbances, such as mutations and non-random mating, are introduced.
Individual frequencies are represented as p and q such as in a diploid, where p and q represent the frequency of allele A and a respectively. The sum total of all allelic frequencies is 1.
The frequency of genotypes, AA is p², that of aa is q² and that of Aa is 2pq.

Hence, p² + 2pq + q² = 1, which is the expansion of (p + q)².

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p^{2} + 2 p q + q^{2} = 1

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(p + q)² = p² + 2pq + q² = 1 represents an equation used in:

What does $p^{2}$ in the below mentioned Hardy - Weinberg equation indicate?

${(p + q)}^{2} = p^{2} + 2 pq + q^{2}$

p^{2} + 2 p q + q^{2} = 1

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