simplify (7m-8n)2+(7m+8n)2
Answers
Answered by
4
Step-by-step explanation:
7m+7m-8n+8n+2+2
7+7=14
-8+8=0
2+2=4
14+4
14m+4
Answered by
14
Answer:
Given, (7m - 8n )² + (7m + 8n)²
we know , (a - b)² = a² - 2ab + b²
and ( a + b )² = a² + 2ab + b²
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then,
(7m - 8n)² + (7m + 8n)²
= [(7m)² - 2(7m)(8n) + (8n)²] + [(7m)² + 2(7m)(8n) + (8n)²]
= (49m² - 112mn + 64n²) + (49m² + 112mn + 64n²)
= 49m² - 112mn + 64n² + 49m² +112mn + 64n²
= 98m² + 128n²
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