Question

1) (ab+a)(2ab+6a)= 2) (a+5)(x-3y+1)=

Answer 1

1) 2а^2(b+1)(b+3)

2)ax-3ay+a+5x-15y+5

Answer 2

1. Let's expand the expression (ab + a)(2ab + 6a):

First, distribute the first term (ab) to both terms inside the second parentheses: ab * 2ab + ab * 6a

This simplifies to: 2a^2b^2 + 6a^2b

Next, distribute the second term (a) to both terms inside the second parentheses: a * 2ab + a * 6a

This simplifies to: 2a^2b + 6a^2

Putting it all together, the expanded expression is: 2a^2b^2 + 6a^2b + 2a^2b + 6a^2

Combining like terms, we get: 2a^2b^2 + 8a^2b + 6a^2

2. Let's expand the expression (a + 5)(x - 3y + 1):

First, distribute the first term (a) to all terms inside the second parentheses: a * x + a * (-3y) + a * 1

This simplifies to: ax - 3ay + a

Next, distribute the second term (5) to all terms inside the second parentheses: 5 * x + 5 * (-3y) + 5 * 1

This simplifies to: 5x - 15y + 5

Putting it all together, the expanded expression is: ax - 3ay + a + 5x - 15y + 5

Combining like terms, we get: ax + 5x - 3ay - 15y + a + 5