Question

(a-1)(a^2-2a+1) solve using formula
answer in steps​

Answer 1

Answer:

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Step-by-step explanation:

a^3-b^3

Answer 2

✩ Question ✩

(a-1)(a²-2a+1) Solve using formula. Answer in steps.

✩ To find ✩

(a-1)(a²-2a+1)

✩ Formulae to be used ✩

☞ (x-y)² = (x²+2xy+y²)

☞ (x-y)² = (x³-3x²y+3xy²-y²)

✩ Solution ✩

Here, take x as a and y as 1.

(a-1)(a²-2a+1)

↝(a-1){a²-(2×a×1)+1²}

↝(a-1)(a-1)²

↝ a³-3a²1+3a×1²-1³

↝(a-1)³

✩ Hence ✩

(a-1)(a²-2a+1) = (a+1)³

✩ Therefore ✩

The value of (a-1)(a²-2a+1) is (a+1)³.

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✧ Some more formulae ✧

☞ (a+b)² = a²+2ab+b²

☞ (a-b)² = a²-2ab+b²

☞ a²-b² = (a+b)(a-b)

☞ a²+b² = (a+b)²-2ab

☞ a²+b² = (a-b)²+2ab

☞ 2(a²+b²) = (a+b)²+(a-b)²

☞ (a+b)³ = a³+3a²b+3ab²+b³

☞ (a-b)³ = a³-3a²b+3ab²-b³

☞ a³+b³ = (a+b)(a²-ab+b²)

☞ a³-b³ = (a-b)(a²+ab+b²)

๑ Hope this helps you. ๑