You can just 1) multiply the binomial by itself, or you can use 2) the square of a binomial pattern. I'll show it to you both ways.
1) Multiply the binomial by itself.
(3x - 2)^2 = (3x - 2)(3x - 2) =
Multiply every term of the first binomial by every term of the second binomial, then collect like terms. (This is often called using FOIL.)
= 9x^2 - 6x - 6x + 4
= 9x^2 - 12x + 4
2) Use the square of a binomial pattern
The square of a binomial is
(a - b)^2 = a^2 - 2ab - b^2
a^2 is the square of the first term.
b^2 is the square of the second term.
-2ab is the product of the two terms and 2.
You have
(3x - 2)^2,
where the first term is 3x, and the second term is -2
square the first term: 9x^2
square the last term: 4
the product of the terms and 2 is: -12x
Put it all together, and you get
9x^2 - 12x + 4
just like we got above with the other method.
Hello!
To factor you find the biggest number they can be divided by
The biggest number that all the number can be divided by is 10
You put that outside parenthesis
10()
Divide the expression by 10
3 + x - 4y
Put the two together
10(3 + x + 4y)
Hope this helps!
Answer:
9) 5y
10) 10 x² - 4
11) 2a ∧5 + 5b
12) 8m +4n + 2
Step-by-step explanation:
9) 8 y - 3 y = 5y
10) 6x² + 4 (x²-1) = 6x²+ 4x²-4 = 10x²-4
11) 4a∧5 - 2a∧5 +4b + b = 2a∧5 +5b
12) 8m +14-12+4n = 8m+4n+2