Question

1) (2a + 3)(a + 3); 3) (ab + b²)(a + 1);

Answer 1

1)=2а²+6а+3а+9=2а²+9а+9

2)=a²b+ab+ab²+b²

Answer 2

To simplify the given expressions, let's expand them using the distributive property:

1. (2a + 3)(a + 3)

Expanding the expression: = 2a(a + 3) + 3(a + 3)

Using the distributive property: = 2a^2 + 6a + 3a + 9

Combining like terms: = 2a^2 + 9a + 9

Therefore, the simplified expression is 2a^2 + 9a + 9.

3. (ab + b²)(a + 1)

Expanding the expression: = ab(a + 1) + b²(a + 1)

Using the distributive property: = a^2b + ab + b^2a + b²

Rearranging the terms: = a^2b + b^2a + ab + b²

Combining like terms: = (a^2b + b^2a) + (ab + b²)

Since a^2b and b^2a are like terms and ab and b² are also like terms, we can factor out common factors: = ab(a + b) + b²(a + b)

Combining like terms again: = (ab + b²)(a + b)

Therefore, the simplified expression is (ab + b²)(a + b).