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(iii) (6-5xy) (6 + 5xy)

1 Answer

7 votes

Hello there!

Answer:


36 - 25x^(2)y^(2)

Explanation:

We can use the special formula:


(a - b)(a + b) = a^(2) - b^(2)

If a = 6 and b = 5xy then:


(6 - 5xy)(6 + 5xy) = 6^(2) - (5xy)^(2) = 36 - 25x^(2)y^(2)

This is the final answer

But if we don't know this formula, we can solve it other way:


(6 - 5xy)(6 + 5xy) = 6^(2) + 5xy * 6 - 5xy * 6 - (5xy)^(2) = \\\\= 6^(2) - (5xy)^(2) = 36 - 25x^(2)y^(2)

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