Yes, for example (a + bi)(c + di) = ac + adi + bic + bidi, and commutative property works as well --> ac + adi + bci + bdi² --> ac + (ad + bc)i + bd(-1) = (ac - bd) + (ad + bc)i
Chat with our AI personalities
You need three numbers to apply a distributive property.
To apply the distributive property to an algebraic expression, you multiply each term inside the parentheses by the number or variable outside the parentheses. For example, to simplify 2(x + 3), you would multiply 2 by both x and 3, resulting in 2x + 6.
Division is distributive over addition only in terms of addition with the numerator, but not the denominator. That is, (a + b)/x = a/x + b/x but y/(c + d) ≠y/c + y/d
It is usually applied in arithmetic to simplify multiplication. For example, find the value of 9*46. Now, my knowledge of the 9 times table does not extend to 46 nines and I certainly do not know the 46 times table but, using the distributive property: 9 * 46 = 9*(40 + 6) = 9*40 + 9*6 [That's the step where the distributive property was used] and, now its easy. I know 9*4 = 36 so 9*40 = 360 and 9*6 = 56 Thus 9 * 46 = 360 + 56 = 416.
2*11 = 2*(10+1) = 2*10 + 2*1 = 20 + 2 = 22 is one possible way.