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Q: How do you factor a plus b quantity squared minus 100?

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This expression factors as x -1 quantity squared.

x squared minus 12 x plus 36 = (x - 6)(x - 6)

There are no rational factors.

There is no rational factorisation.

(9 - y)(a + 5)

2m^2 - 8 -First you should factor out a two. --> 2(m^2-4) -You now have something squared minus something else squared; You have m squared minus 2 squared. Whenever you have something squared minus something squared as you do in this case, there is a simple rule to remember: You can reduce that expression into the quantity of the square root of the first number or variable plus the square root of the second number or variable Times the quantity of the square root of the first number or variable minus the second number or variable squared. --> In the case of your expression: ----> 2(m+2)(m-2)<-----

(3y - 5)(y + 5)

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

(b-c)(a+b)-ac

(x + 3)(3x - 2)

The expression does not have rational factors.

(7a - 1)(6a + 1)

68.3

it is (x-y)(x-y) :)

(3r - 2)(3r - 2) or (3r - 2) squared.

6(b - ac + b2 - bc)

6(ab - ac + b2 - bc)

Factor out -2: -2(x squared +11x-20). This is fully factored.

(x + 3)(5x - 2)

(x + 12)(x - 3)

(y - 2)(y - 7)

(5x - 2)(x - 5)

(4x - 1)(x - 5)

(x - 5)(x + 12)

(4x - 3)(2x + 3)