m²n²-4mn+4-x², Factorize the given equation.
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(mn-2)^2-x^2
(mn-2+x)(mn-2-x)
(mn+x-2)(mn-x-2)
(mn-2+x)(mn-2-x)
(mn+x-2)(mn-x-2)
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Answer:
( mn-2+x )( mn-2-x )
Step-by-step explanation:
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We know the algebraic identities:
i ) a² - 2ab + b² = ( a - b )²
ii ) p² - q² = ( p + q )( p - q )
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m²n²-4mn+4-x²
= [(mn)² - 2(mn)×2+2²] - x²
= ( mn - 2 )² - x²
= ( mn -2 + x )( mn - 2 - x )
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