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Expand and Simplify SACHS
Contributed by: Shanahan
1
=
3(2x + 5) – 4x
5x + 15 – 4x
6x + 15 – 4x
?
​1
=
=
3(2x + 5) – 4x
10x + 15
6x + 15 – 4x
2x + 15
?
2
=
–5x (2x – 4)
–10x2 + 20x
?
–10x2 – 20x
3
=
–3x + 7(x + 2)
–3x +7x + 14
?
4x (x + 2)
3
=
=
–3x + 7(x + 2)
–3x +7x + 14
4x + 14
?
–10x + 14
4
=
13 (a – 2)
8 + 5(a – 2)
8 + 5a – 10
?
4
=
=
13a – 10
8 + 5(a – 2)
8 + 5a – 10
–2 + 5a
?
5
=
5(y + 6) + 3(y + 4)
5y + 30 + 3y + 12
?
5y + 6 + 3y + 4
5
=
=
5(y + 6) + 3(y + 4)
5y + 30 + 3y + 12
8y + 42
?
35y + 15
6
=
4b + 18 – 3b + 5
2(2b + 9) – 3(b + 5)
4b + 18 – 3b – 15
?
6
=
=
7b + 33
2(2b + 9) – 3(b + 5)
4b + 18 – 3b – 15
b + 3
?
7
=
12ab – 18b2 + 30bc
?
12ab – 18b + 30bc
6b(2a – 3b + 5c)
8
=
–6a – 2b – 10c – a + b
– 2(3a – b + 5c) – (a + b)
–6a + 2b – 10c – a – b
?
8
=
=
– 2(3a – b + 5c) – (a + b)
–6a + 2b – 10c – a – b
–5a + b – 10c
–7a + b – 10c
?
9
=
9x(2x + y – 5z)
12x2 – 3x(2x + y – 5z)
12x2 – 6x2 – 3xy + 15xz
?
9
=
=
12x2 – 3x(2x + y – 5z)
12x2 – 6x2 – 3xy + 15xz
6x2 – 3xy + 15xz
?
18x2 – 3xy – 15xz
10
+ 2
x
x2
?
+ 2x
?
x
(x + 4)(x + 2) =
+ 8
?
+ 4
+ 4x
?
10
+ 2
(x + 4)(x + 2) =
x
+ 2x 
x2
=
x
x2 + 6x + 8
?
x2 + 2x + 8
+ 4x
+ 8
+ 4
11
=
2x(2x – 3) – 3(2x – 3)
(2x – 3)(x + 5)
2x(x + 5) – 3(x + 5)
?
11
=
=
2x2 + 10x – 3x + 15
(2x – 3)(x + 5)
2x(x + 5) – 3(x + 5)
2x2 + 10x – 3x – 15
?
11
=
=
=
2x2 + 7x – 15
?
2x2 +13x – 15
2x2 + 10x – 3x – 15
(2x – 3)(x + 5)
2x(x + 5) – 3(x + 5)
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