please answer (m+n)² -(m-n)²
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Step-by-step explanation:
( m + n )² - ( m - n )²
m² + n² - 2mn - m² - n² + 2mn
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Answered by
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(m+n)²-(m-n)²
(m+n)² is in the form of (a+b)² and (m-n)² is in the form of (a-b)²
(a+b)²=a²+2ab+b²; (a-b)²=a²-2ab+b²
so we write (m+n)²and (m-n)² in the form
of (a+b)² and (a-b)²
= (m²+2mn+n²)-(m²-2mn+n²)
we know that - × + = - and - × - = +
=m²+2mn+n²-m²+2mn-n²
=2mn+2mn (here m²and -m² cancelled and
+n² and -n² are also cancelled)
=4mn
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