Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
64p2−192pq+144q2−8p+12q
Evaluate
16(2p−3q)2−4(2p−3q)
Expand the expression
More Steps
Calculate
16(2p−3q)2
Simplify
16(4p2−12pq+9q2)
Apply the distributive property
16×4p2−16×12pq+16×9q2
Multiply the numbers
64p2−16×12pq+16×9q2
Multiply the numbers
64p2−192pq+16×9q2
Multiply the numbers
64p2−192pq+144q2
64p2−192pq+144q2−4(2p−3q)
Solution
More Steps
Calculate
−4(2p−3q)
Apply the distributive property
−4×2p−(−4×3q)
Multiply the numbers
−8p−(−4×3q)
Multiply the numbers
−8p−(−12q)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−8p+12q
64p2−192pq+144q2−8p+12q
Show Solution
Factor the expression
4(2p−3q)(8p−12q−1)
Evaluate
16(2p−3q)2−4(2p−3q)
Rewrite the expression
4(2p−3q)×4(2p−3q)−4(2p−3q)
Factor out 4(2p−3q) from the expression
4(2p−3q)(4(2p−3q)−1)
Solution
4(2p−3q)(8p−12q−1)
Show Solution