Question

Алгебра 1)  (a-2b)(4a+3b)=2) (2ab-3)(3a+b-2)=

Answer 1

6a2b-6a+2ab2-3b-4ab+6=-4a+2ab2-3b+6=4a-2ab2+3b-6=-2ab2+4a+3b+6=
=2аb2-4a-3b-6

Answer 2

1. To expand the expression (a-2b)(4a+3b), you can use the FOIL method, which stands for First, Outer, Inner, Last.

First: Multiply the first terms of each binomial, which are a and 4a: a * 4a = 4a^2.

Outer: Multiply the outer terms of each binomial, which are a and 3b: a * 3b = 3ab.

Inner: Multiply the inner terms of each binomial, which are -2b and 4a: -2b * 4a = -8ab.

Last: Multiply the last terms of each binomial, which are -2b and 3b: -2b * 3b = -6b^2.

Now, you can add all of these products together to get the expanded expression:

(a-2b)(4a+3b) = 4a^2 + 3ab - 8ab - 6b^2

Simplifying this expression by combining like terms, you get:

(a-2b)(4a+3b) = 4a^2 - 5ab - 6b^2

2. To expand the expression (2ab-3)(3a+b-2), you can also use the FOIL method:

First: Multiply the first terms of each binomial, which are 2ab and 3a: 2ab * 3a = 6a^2b.

Outer: Multiply the outer terms of each binomial, which are 2ab and b: 2ab * b = 2ab^2.

Inner: Multiply the inner terms of each binomial, which are -3 and 3a: -3 * 3a = -9a.

Last: Multiply the last terms of each binomial, which are -3 and b-2: -3 * (b-2) = -3b + 6.

Now, you can add all of these products together to get the expanded expression:

(2ab-3)(3a+b-2) = 6a^2b + 2ab^2 - 9a - 3b + 6

Simplifying this expression by combining like terms, you get:

(2ab-3)(3a+b-2) = 6a^2b + 2ab^2 - 9a - 3b + 6.