(x-(5-2i))(x-(5+2i))

Simplify each term.

Apply the distributive property.

(x-1⋅5-(-2i))(x-(5+2i))

Multiply -1 by 5.

(x-5-(-2i))(x-(5+2i))

Multiply -2 by -1.

(x-5+2i)(x-(5+2i))

(x-5+2i)(x-(5+2i))

Simplify each term.

Apply the distributive property.

(x-5+2i)(x-1⋅5-(2i))

Multiply -1 by 5.

(x-5+2i)(x-5-(2i))

Multiply 2 by -1.

(x-5+2i)(x-5-2i)

(x-5+2i)(x-5-2i)

(x-5+2i)(x-5-2i)

Expand (x-5+2i)(x-5-2i) by multiplying each term in the first expression by each term in the second expression.

x⋅x+x⋅-5+x(-2i)-5x-5⋅-5-5(-2i)+2ix+2i⋅-5+2i(-2i)

Combine the opposite terms in x⋅x+x⋅-5+x(-2i)-5x-5⋅-5-5(-2i)+2ix+2i⋅-5+2i(-2i).

Reorder the factors in the terms x(-2i) and 2ix.

x⋅x+x⋅-5-2ix-5x-5⋅-5-5(-2i)+2ix+2i⋅-5+2i(-2i)

Add -2ix and 2ix.

x⋅x+x⋅-5+0-5x-5⋅-5-5(-2i)+2i⋅-5+2i(-2i)

Add x⋅x+x⋅-5 and 0.

x⋅x+x⋅-5-5x-5⋅-5-5(-2i)+2i⋅-5+2i(-2i)

x⋅x+x⋅-5-5x-5⋅-5-5(-2i)+2i⋅-5+2i(-2i)

Simplify each term.

Multiply x by x.

x2+x⋅-5-5x-5⋅-5-5(-2i)+2i⋅-5+2i(-2i)

Move -5 to the left of x.

x2-5⋅x-5x-5⋅-5-5(-2i)+2i⋅-5+2i(-2i)

Multiply -5 by -5.

x2-5x-5x+25-5(-2i)+2i⋅-5+2i(-2i)

Multiply -2 by -5.

x2-5x-5x+25+10i+2i⋅-5+2i(-2i)

Multiply -5 by 2.

x2-5x-5x+25+10i-10i+2i(-2i)

Multiply 2i(-2i).

Multiply -2 by 2.

x2-5x-5x+25+10i-10i-4ii

Raise i to the power of 1.

x2-5x-5x+25+10i-10i-4(i1i)

Raise i to the power of 1.

x2-5x-5x+25+10i-10i-4(i1i1)

Use the power rule aman=am+n to combine exponents.

x2-5x-5x+25+10i-10i-4i1+1

Add 1 and 1.

x2-5x-5x+25+10i-10i-4i2

x2-5x-5x+25+10i-10i-4i2

Rewrite i2 as -1.

x2-5x-5x+25+10i-10i-4⋅-1

Multiply -4 by -1.

x2-5x-5x+25+10i-10i+4

x2-5x-5x+25+10i-10i+4

Simplify by adding terms.

Combine the opposite terms in x2-5x-5x+25+10i-10i+4.

Subtract 10i from 10i.

x2-5x-5x+25+0+4

Add x2-5x-5x+25 and 0.

x2-5x-5x+25+4

x2-5x-5x+25+4

Subtract 5x from -5x.

x2-10x+25+4

Add 25 and 4.

x2-10x+29

x2-10x+29

x2-10x+29

Multiply (x-(5-2i))(x-(5+2i))