Question
Simplify the expression
441p6−480p3+64−196p+336p2
Evaluate
(3p2×7p−8)2−4p(7−6p)2
Multiply
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Multiply the terms
3p2×7p
Multiply the terms
21p2×p
Multiply the terms with the same base by adding their exponents
21p2+1
Add the numbers
21p3
(21p3−8)2−4p(7−6p)2
Expand the expression
441p6−336p3+64−4p(7−6p)2
Expand the expression
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Calculate
−4p(7−6p)2
Simplify
−4p(49−84p+36p2)
Apply the distributive property
−4p×49−(−4p×84p)−4p×36p2
Multiply the numbers
−196p−(−4p×84p)−4p×36p2
Multiply the terms
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Evaluate
−4p×84p
Multiply the numbers
−336p×p
Multiply the terms
−336p2
−196p−(−336p2)−4p×36p2
Multiply the terms
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Evaluate
−4p×36p2
Multiply the numbers
−144p×p2
Multiply the terms
−144p3
−196p−(−336p2)−144p3
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−196p+336p2−144p3
441p6−336p3+64−196p+336p2−144p3
Solution
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Evaluate
−336p3−144p3
Collect like terms by calculating the sum or difference of their coefficients
(−336−144)p3
Subtract the numbers
−480p3
441p6−480p3+64−196p+336p2
Show Solution
