Question

(m²-1) (m+1)+1 Solve this for 3 marks.

Answer 1

Step-by-step explanation:

(m^2 - 1)(m - 1) + 1

(m + 1)(m -1)(m + 1) + 1

m^2 + 2m + 1 (m - 1) + 1

m^3 - m^2 + 2m^2 - 2m + m - 1 + 1

m^3 + m^2 - m

m(m^2 + m + 1)

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Answer 2

Answer:

m(m^2 + m - 1)

Step-by-step explanation:

(m^2-1)(m+1) + 1

As we know that a^2 - b^2 = (a+b)(a-b), thus the above expression is equal to:

= (m+1)(m-1)(m+1) + 1

= (m+1)^2.(m-1) + 1

= (m^2 + 2m + 1)(m-1) + 1

= m^3 + 2m^2 + m - m^2 - 2m - 1 + 1

= m^3 + m^2 - m

= m(m^2 + m - 1)

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