Question

evaluate by using identities 198*208

Answer 1

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$\sf{198 \times 208} \\ \implies \sf{(200 - 2) \times (200 + 8)} \\ \sf{it \: can \: be \: written \: as \: (200 + 8) \times (200 - 2)} \\ \implies \sf{ {(200)}^{2} + (8 + ( - 2)) \: (200) + 8 \times ( - 2)} \\ \sf{using \: (x + a)(x + b) = {x }^{2} + (a + b)x + ab} \\ \sf{ = 40000 + 6 \times 200 - 16} \\ \sf{ = 40000 + 1200 - 16} \\ \sf{ = 41200 - 16} \\ = \sf \underline{ 41184}$

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• (a + b)²= a²+ 2ab + b²
• (a – b)² = a² – 2ab + b²
• (a + b) (a – b) = a² - b²
• (x + a) (x + b) = x² + (a + b) x + ab.
• (x + a) (x – b) = x² + (a – b) x – ab.
• (x – a) (x + b) = x² + (b – a) x – ab.
• (x – a) (x – b) = x² – (a + b) x + ab.
• (a + b)³ = a³ + b³ + 3ab (a + b)

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Answer 2

Answer:

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Step-by-step explanation:

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