(x+4)^2-7(x+4)+6
please?
please?
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x^2 + 8x + 16 - 7x - 28 + 6
x^2 + x - 6
(x+3)(x-2)
x^2 + x - 6
(x+3)(x-2)
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First, make this simpler for yourself by replacing the (x+4) with a different variable, such as "a"
a^2 - 7a + 6
This might look like a more familiar factoring problem now.
Find two numbers that add to -7 and multiply to 6. Using trial and error, you can figure out:
-6 + -1 = -7
-6 * -1 = 6
So the numbers -6 and -1 work out. Write that as:
(a - 6)(a - 1)
Now, remember that "a" used to be (x+4). Put that back in, in place of a.
(x + 4 - 6)(x + 4 - 1)
And simplify by doing the subtraction of the numbers within each set of parentheses:
(x - 2)(x + 3)
a^2 - 7a + 6
This might look like a more familiar factoring problem now.
Find two numbers that add to -7 and multiply to 6. Using trial and error, you can figure out:
-6 + -1 = -7
-6 * -1 = 6
So the numbers -6 and -1 work out. Write that as:
(a - 6)(a - 1)
Now, remember that "a" used to be (x+4). Put that back in, in place of a.
(x + 4 - 6)(x + 4 - 1)
And simplify by doing the subtraction of the numbers within each set of parentheses:
(x - 2)(x + 3)
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x^2 + 8x + 16 - 7x - 28 + 6
x^2 + x - 6
(x + 3)(x - 2)
x^2 + x - 6
(x + 3)(x - 2)
-
x^2 + 8x + 16 - 7x - 28 + 6
x^2 + x - 6
(x + 3)(x - 2)
x^2 + x - 6
(x + 3)(x - 2)
-
u = x+4
= u^2 - 7u + 6
(u - 6) (u - 1),
(x+4-6)(x+4-1) = (x - 2)(x + 3)
= u^2 - 7u + 6
(u - 6) (u - 1),
(x+4-6)(x+4-1) = (x - 2)(x + 3)
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to multiply (x+4)^2 it's x^2+2ab+b^2
x^2+8x+16-7x-28+6
x^2+x-6
(x-2)(x+3)
x^2+8x+16-7x-28+6
x^2+x-6
(x-2)(x+3)
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x^2+x-6