Question

Multiply:
1. (x + y) and (x + y + xy)
2. (a + b + c) and (a - b)
3.
(a + 5) and (b + 3+ 4)
4. (x + 2x) and 3x
(3x-y)
and
x x 10y + 8
if​

Answer 1

Answer:

1.x²+y²+2xy+xy²+x²y

2.a²-b²+ac-bc

3.ab+7a+5b+35

4.27x³-9x²y

Answer 2

Step-by-step explanation:

Multiply:

1. (x + y) and (x + y + xy)

= (x + y)(x + y + xy)

= x(x + y + xy) + y(x + y + xy)

= x² + xy + x²y + xy + y² + xy²

= x² + x²y + xy + xy + xy² + y²

= x² + x²y + xy + xy + xy² + y²

2. (a + b + c) and (a - b)

= (a + b + c)(a - b)

= a(a - b) + b(a - b) + c(a - b)

= a² - ab + ab - b² + ac - bc

= a² + ac - b² - bc

3. (a + 5) and (b + 3 + 4)

= (a + 5)(b + 3 + 4)

= a(b + 3+ 4) + 5(b + 3+ 4)

= ab + 3a + 4a + 5b + 15 + 20

= 3a + 4a + ab + 5b + 15 + 20

= 7a + ab + 5b + 35