Help please with these maths equation questions?

Question

Multiply out and collect like terms:
3a+(2a-1)(a-3)
and
Multiply out and collect like terms:
(2y-3)(yᶟ+4y-1)

thanks

Answer 1

1. Multiply & simplify into lowest terms...3a+(2a-1)(a-3)

First: eliminate parenthesis - use the Foil Method.

(2a)(a)+(2a)(-3)+(-1)(a)+(-1)(-3)

2a^2 + (-6a) + (-1a) + 3

2a^2 - 6a - 1a + 3

Sec: combine "like" terms - combine terms with the same variable (a).

2a^2 - 7a + 3

Third: combine the expression with 3a.

3a +(2a^2 - 7a + 3)

3a + 2a^2 - 7a + 3

= 2a^2 - 4a + 3

P.S. Try #2 by following the same method from #1

Answer 2

Question 1
3a + 2a² - 7a + 3
2a² - 4a + 3
Question 2
Assume question is meant to read as:-
(2y - 3).(y² + 4y - 1)
2y³ + 8y² - 2y - 3y² - 12y + 3
2y³ + 5y² - 14y + 3

Answer 3

3a+2a*a-2a*3-1*a+1*3
=3a+2a^2-6a-a+3
=2a^2-4a+3

(2y-3)(yᶟ+4y-1)
=2y^2+8y^2-2y-3y^2-12y+3
= 7y^2-14y+3