If `sin alpha -cos alpha = m`, then the value of `sin^6alpha+cos^6alpha` in terms of m isA. `1-(3)/(4) (1+m^(2))^(2)`B. `1-(4)/(3)(m^(2)-1)^(2)`C. `1-(3)/(4)(1-m^(2))^(2)`D. `1-(3)/(4)(1+m^(2))^(2)`.

If `sin alpha -cos alpha = m`, then the value of `sin^6alpha+cos^6alph

1.	If `sin alpha -cos alpha = m`, then the value of `sin^6alpha+cos^6alpha` in terms of m isA. `1-(3)/(4) (1+m^(2))^(2)`B. `1-(4)/(3)(m^(2)-1)^(2)`C. `1-(3)/(4)(1-m^(2))^(2)`D. `1-(3)/(4)(1+m^(2))^(2)`.
Answer» Correct Answer - C (i) Use the identity `a^(3)+b^(3)=(a+b)^(3)=3ab(a+b)`. (ii) Find the value of ` sin alpha cos alpha ` by squaring ` sin alpha- cos alpha` = m .