How to factor: a^2 - 36b^2
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How to factor: a^2 - 36b^2

[From: ] [author: ] [Date: 12-05-19] [Hit: ]
(-a-6b)(-a+6b). The second answer is -1 multipied by the first answer.......
I dont understand how to factor with two different variables like this

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factor using rule for difference of two squares
x^2 - y^2 = (x + y)(x - y)

a^2 - 36b^2
= (a)^2 - (6b)^2
= (a + 6b)(a - 6b)

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a^2 - 36b^2

=(a-6b)(a+6b)

When u have a function/ expression in the form of (x^2)-(y^2), you can always factorise it to (x-y)(x+y).

(a^2)-36(b^2) is the expression so (x^2)=(a^2) and (y^2)=36(b^2).

x=a or -a and y=-6b or 6b.

Therefore (a^2)-36(b^2)=(a-6b)(a+6b), (-a-6b)(-a+6b). The second answer is -1 multipied by the first answer. So you can write (a-6b)(a+6b)=(a^2)+6ba-6ba-36(b^2)=(a^2)…

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a² - 36b² this is what we call the difference of two squares

(a +6b)(a -6b) as simple as that

ask your self:
what by what gives a²
what by what gives b²
what what sign but what sign gives a minus +* -

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a^2 - 36b^2
= (a + 6b)(a - 6b)
1
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