2. Simplify the following using multiplication and division properties of surds:
(7√a-5√b)(7√a+5√b)
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Answer:
49a - 25 b
Step-by-step explanation:
Simplify the following using multiplication and division properties of surds:
(7√a-5√b)(7√a+5√b)
(7√a - 5b)(7√a + 5√b)
= 7*7 * √a * a + 7*5*√a*b - 5*7*√b*a - 5*5*√b*b
= 49*√a² + 35√ab - 35√ba - 25√b²
= 49a + 35√ab - 35√ab - 25b
= 49a - 25 b
(7√a - 5b)(7√a + 5√b) = 49a - 25 b
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