Simplify: i) (a + b)(5a – 3b) + (a – 3b)(a – b) ii) (a – b) (a2 + b2 + ab) – (a + b) (a2 + b2 – ab) iii) (b2 – 49) (b + 7) + 343 with explanation and steps pls
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Step-by-step explanation:
(a+b)(5a-3b) + (a-3b)(a-b)
= a(5a-3b)+b(5a-3b) + a(a-b)-3b(a-b)
= 5a²-3ab+5ab-3b² + a²-ab -3ab+3b²
= 6a²-7ab+5ab
= 6a²-2ab
= 2a(3a-b)
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