1
Question
Find the product:
(x+7y)(7x-y)
(x+7y)(7x-y)
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Solution
(x+7y)(7x−y)
= x × (7x − y) + 7y × (7x − y)
= x × 7x − x × y + 7y × 7x − 7y × y
= 7x2 − xy + 49xy − 7y2
= 7x2 + 48xy − 7y2
= x × (7x − y) + 7y × (7x − y)
= x × 7x − x × y + 7y × 7x − 7y × y
= 7x2 − xy + 49xy − 7y2
= 7x2 + 48xy − 7y2
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