Question

hcf of 4P³ and 10 P²q³ is​

Answer 1

2p^2

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Answer 2

Given,

First term$\[ = 4{p^3}\]$

Second term$\[ = 10{p^2}{q^3}\]$

Solution,

Know that HCF is the highest common factor of the set of numbers.

So, the factors of the first term are

$\[ \Rightarrow 2 \times 2 \times p \times p \times p\]$

So, the factors of the second term are

$\[ \Rightarrow 2 \times 5 \times p \times p \times q \times q \times q\]$

Therefore, the HCF is

$\[\begin{array}{l} \Rightarrow 2 \times p \times p\\ \Rightarrow 2{p^2}\end{array}\]$

Hence, the HCF of $\[4{p^3}{\rm{and}}10{p^2}{q^3}\]$ is $\[2{p^2}.\]$