Which of the following equations shows commutativity in multiplication:
a×(b×c)=(a×b)×c
a×b=b×a
a×(b+c)=(a×b+a×c
2×3=5+1
As per commutative law for multiplication, even if we change the order of the variables, their product will remain the same.
Which of the following equations are correct? (i) (a+b+c)2=a2+b2+c2−2(ab+bc+ca) (ii) (a+b)3=a3+b3+3ab(a−b) (iii) (a−b)3=a3−b3−3ab(a+b) (iv) a2−b2=(a+b)(a−b)
If a≠b≠c such that ∣∣ ∣ ∣∣a3−1b3−1c3−1abca2b2c2∣∣ ∣ ∣∣=0 then,