Question

If (2p + 3q = 10) and (8p3 + 27q3 = 100), find the value of pq.
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Answer 1

Given that

$2p+3q=10$ ...[Equation 1]

$8p^3+27q^3=100$ ...[Equation 2]

Factorization of Equation 2

$\rightarrow (2p+3q)(4p^2-6pq+9p^2)=100$

$\rightarrow 10(4p^2-6pq+9q^2)=100$

$\rightarrow 4p^2-6pq+9q^2=10$ ...[Equation 3]

Since this question requires identities, for convenience, let the sum and product of $2p,3q$ be $m,n$.

Then Equation 1, 3 are

$\rightarrow \begin{cases} & m=10 \\ & m^2-3n=10 \end{cases}$

$\rightarrow m=10,n=30$

Hence $6pq=30$, and hence $pq=5$.

Answer 2

Answer:

above answer will helps you,,

Science is the pursuit and application of knowledge and understanding of the natural and social world following a systematic methodology based on evidence. Scientific methodology includes the following: ... Evidence. Experiment and/or observation as benchmarks for testing hypotheses.

Step-by-step explanation:

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