Question

(3/4 a - 1/2 b) (1/2 b + 3/4 a)

Answer 1

Ответ:

(3/4a-1/2b)(1/2b+3/4a)

(3/4a-1/2b)(3/4a+1/2b)

9/16a2-1/4b2

Объяснение:

Answer 2

To multiply the expressions (3/4a - 1/2b) and (1/2b + 3/4a), you can use the distributive property (FOIL method). FOIL stands for First, Outer, Inner, Last, which helps you remember the order in which you should multiply the terms. Here's how you can do it:

(3/4a - 1/2b)(1/2b + 3/4a)

First: Multiply the first terms of each binomial: (3/4a) * (1/2b) = (3/4a * 1/2b) = (3/8ab)

Outer: Multiply the outer terms of each binomial: (3/4a) * (3/4a) = (9/16a^2)

Inner: Multiply the inner terms of each binomial: (-1/2b) * (1/2b) = (-1/4b^2)

Last: Multiply the last terms of each binomial: (-1/2b) * (3/4a) = (-3/8ab)

Now, combine all these results:

(3/8ab) + (9/16a^2) + (-1/4b^2) + (-3/8ab)

Now, simplify by combining like terms:

(3/8ab - 3/8ab) + (9/16a^2 - 1/4b^2)

The first pair of terms cancels out:

0 + (9/16a^2 - 1/4b^2)

So, the product of (3/4a - 1/2b) and (1/2b + 3/4a) simplifies to:

9/16a^2 - 1/4b^2