Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
a2x2−10a2x+25a2−ax+5a
Evaluate
a2(x−5)2−a(x−5)
Expand the expression
More Steps
Calculate
a2(x−5)2
Simplify
a2(x2−10x+25)
Apply the distributive property
a2x2−a2×10x+a2×25
Use the commutative property to reorder the terms
a2x2−10a2x+a2×25
Use the commutative property to reorder the terms
a2x2−10a2x+25a2
a2x2−10a2x+25a2−a(x−5)
Solution
More Steps
Calculate
−a(x−5)
Apply the distributive property
−ax−(−a×5)
Use the commutative property to reorder the terms
−ax−(−5a)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−ax+5a
a2x2−10a2x+25a2−ax+5a
Show Solution
Factor the expression
a(x−5)(ax−5a−1)
Evaluate
a2(x−5)2−a(x−5)
Rewrite the expression
a(x−5)a(x−5)−a(x−5)
Factor out a(x−5) from the expression
a(x−5)(a(x−5)−1)
Solution
a(x−5)(ax−5a−1)
Show Solution