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Question:
Verify that : ( 11pq + 4q )² - ( 11pq - 4q )² = 176 pq²
Formula to be applied:
☆ a² - b² = ( a + b )( a - b )
Here:
( 11pq + 4q ) = a
( 11pq - 4q ) = b
Answer:
= ( 11pq + 4q )² - ( 11pq - 4q )²
= ( 11pq + 4q + 11pq - 4q )( 11pq + 4q - 11pq + 4q )
= ( 22pq )( 8q ) = 176pq²
Now:
( 11pq + 4q )² - ( 11pq - 4q )² = 176 pq²
Hence verified✔
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