expand (x+5)(x-5)
⚠ (x+5)(x-5) is read as (x+5)*(x-5): use (...)*(...) for multiplication, use (...)^(...) for a power
Let's write in expanded form: (x + 5)·(x -5)
ⓘ Expand by multiplying each term inside the parentheses: (x + 5)·(x -5) = x·x + x·(-5) + 5x + 5·(-5)
x·x + x·(-5) + 5x + 5·(-5)
ⓘ Multiplying powers with the same base adds the exponents: x·x = x2■The minus sign is placed in front of the product: x·(-5) = -5x■Multiplications are done before additions and subtractions. A single minus sign does not cancel out, the product of a negative number by a positive number is negative: 5·(-5) = -25
x2 -5x + 5x -25
ⓘ Like terms are grouped by adding their coefficients: -5x + 5x = 0
x2 + 0 -25
ⓘ Adding 0 changes nothing: 0 -25 = -25
▶Expanded form:   x2 -25