Question

Factorize: p²p²-4pq+4q²_9r²

Answer 1

Answer:

( p - 2q + r ) ( p - 2q - r )

Step-by-step explanation:

Hi,

p² - 4pq + 4q² - r²

= [ p² - 2 × p × 2q + ( 2q )² ] - r²

= ( p - 2q )² - r²

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By using the algebraic identity ,

a² - b² = ( a + b ) ( a - b )

_______________________

= ( p - 2q + r ) ( p - 2q - r )

I hope this helps you.