Hello
21.
Let's factor t^2−25
t^2−25
The middle number is 0 and the last number is -25.
Factoring means we want something like
(t+_)(t+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get 0
Multiply together to get -25
Can you think of the two numbers?
Try 5 and -5:
5+-5 = 0
5*-5 = -25
Fill in the blanks in
(t+_)(t+_)
with 5 and -5 to get...
(t+5)(t-5)
Answer:
(t+5)(t−5)
19.
Let's factor w^2+16w+64
w^2+16w+64
The middle number is 16 and the last number is 64.
Factoring means we want something like
(w+_)(w+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get 16
Multiply together to get 64
Can you think of the two numbers?
Try 8 and 8:
8+8 = 16
8*8 = 64
Fill in the blanks in
(w+_)(w+_)
with 8 and 8 to get...
(w+8)(w+8)
Answer:
(w+8)(w+8)
20.
Let's factor t^2+10t+25
t^2+10t+25
The middle number is 10 and the last number is 25.
Factoring means we want something like
(t+_)(t+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get 10
Multiply together to get 25
Can you think of the two numbers?
Try 5 and 5:
5+5 = 10
5*5 = 25
Fill in the blanks in
(t+_)(t+_)
with 5 and 5 to get...
(t+5)(t+5)
Answer:
(t+5)(t+5)
16.
Factor 6x^2+7x−20
6x^2+7x−20
=(3x−4)(2x+5)
Answer:
(3x−4)(2x+5)
17.
Factor 2y^2−y−3
2y^2−y−3
=(2y−3)(y+1)
Answer:
(2y−3)(y+1)
13.
Let's factor x^2+6x−27
x^2+6x−27
Answer:
(x−3)(x+9)
14.
Let's factor x^2+x−30
x^2+x−30
Answer:
(x−5)(x+6)
15.
Factor x^2−10xy+21y2
x^2−10xy+21y2
=(x−3y)(x−7y)
Answer:
(x−3y)(x−7y)
10.
(4x−4)(3x−4)
=12x^2−28x+16
12.
(3x−7y^4)^2
=49y^8−42xy^4+9x^2
OML that was hard. I gave up explaining the problems after the first 2 cause it took me so long. Sorry I'll answer 20 and 11 in a little bit.