What is factor 1/2 (x+3)^2-8 ?

The solution to factor 1/2 (x+3)^2-8 is (sqrt(1/2)(x+3)+2sqrt(2))(sqrt(1/2)(x+3)-2sqrt(2))

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factor 1/2 (x+3)^2-8

factor

\frac{1}{2} (x + 3)^{2} - 8

(\frac{1}{2} (x + 3) + 22) (\frac{1}{2} (x + 3) - 22)

Solution steps

\frac{1}{2} (x + 3)^{2} - 8

Rewrite

\frac{( x + 3 ) ^{2}}{2} - 8

(\frac{1}{2} (x + 3))^{2} - (8)^{2}

= (\frac{1}{2} (x + 3))^{2} - (8)^{2}

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

(\frac{1}{2} (x + 3))^{2} - (8)^{2} = (\frac{1}{2} (x + 3) + 8) (\frac{1}{2} (x + 3) - 8)

= (\frac{1}{2} (x + 3) + 8) (\frac{1}{2} (x + 3) - 8)

Refine

= (\frac{1}{2} (x + 3) + 22) (\frac{1}{2} (x + 3) - 22)

2 x \leq 4

∣ x + 2 ∣ \geq - 3

5 x^{2} - 10 = 0

4 x + 2 + 7 x = 10 x + 3 + x

4 a^{2} - 8 a = 24

What is factor 1/2 (x+3)^2-8 ?
The solution to factor 1/2 (x+3)^2-8 is (sqrt(1/2)(x+3)+2sqrt(2))(sqrt(1/2)(x+3)-2sqrt(2))