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Answer:
[tex]answer \: of \: this \: question \: is \\ 3.( \frac{1}{4} p - 2q)( \frac{1}{4} p + 2q)[/tex]
Step-by-step explanation:
we have to factorise:
[tex] \frac{1}{16} {p}^{2} - 4 {q}^{2} [/tex]
[tex] = {( \frac{1}{4}p) }^{2} - {(2q)}^{2} [/tex]
[tex]now \: using \: the \: identity \: \\ a^2 - b^2 =(a+b)(a-b)[/tex]
[tex]( \frac{1}{4} p - 2q)( \frac{1}{4}p + 2q)[/tex]
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[tex]\huge{\fbox{\fbox{\bigstar{\mathfrak{\red{Answer}}}}}}[/tex]
[tex]<marquee direction="left">[/tex]your answer is option C