What is (x+3)(x-5+5i)(x+5+5i) ?

The solution to (x+3)(x-5+5i)(x+5+5i) is (x+3)(x^2-50)+(x+3)*10xi

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simplify (x+3)(x-5+5i)(x+5+5i)

simplify

(x + 3) (x - 5 + 5 i) (x + 5 + 5 i)

(x + 3) (x^{2} - 50) + (x + 3) \cdot 10 x i

Solution steps

(x + 3) (x - 5 + 5 i) (x + 5 + 5 i)

Rewrite

x - 5 + 5 i

in standard complex form:

(x - 5) + 5 i

Rewrite

x + 5 + 5 i

in standard complex form:

(x + 5) + 5 i

= (x + 3) ((x - 5) + 5 i) ((x + 5) + 5 i)

Apply complex arithmetic rule:

(a + bi) (c + d i) = (a c - b d) + (a d + b c) i

= (x + 3) (((x - 5) (x + 5) - 5 \cdot 5) + ((x - 5) \cdot 5 + 5 (x + 5)) i)

Simplify

((x - 5) (x + 5) - 5 \cdot 5) + ((x - 5) \cdot 5 + 5 (x + 5)) i : (x^{2} - 50) + 10 x i

= (x + 3) ((x^{2} - 50) + 10 x i)

Distribute parentheses

= (x + 3) (x^{2} - 50) + (x + 3) \cdot 10 x i

\frac{1}{4} (5 + 2 x) (3 - 2 x)

\frac{( 107 s + 302 )}{12 ( s ^{2} - 2 s + 12 )}

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

(x + 1) (x + 1)

6 (7 - 8)

What is (x+3)(x-5+5i)(x+5+5i) ?
The solution to (x+3)(x-5+5i)(x+5+5i) is (x+3)(x^2-50)+(x+3)*10xi