Question
Simplify the expression
Solution
−16x2−28xy3z+28yzx+49y4z2
Evaluate
(4x−7yz)(−4x−7y3z)
Apply the distributive property
4x(−4x)−4x×7y3z−7yz(−4x)−(−7yz×7y3z)
Multiply the terms
More Steps

Evaluate
4x(−4x)
Multiply the numbers
More Steps

Evaluate
4(−4)
Multiplying or dividing an odd number of negative terms equals a negative
−4×4
Multiply the numbers
−16
−16x×x
Multiply the terms
−16x2
−16x2−4x×7y3z−7yz(−4x)−(−7yz×7y3z)
Multiply the numbers
−16x2−28xy3z−7yz(−4x)−(−7yz×7y3z)
Multiply the numbers
More Steps

Evaluate
−7(−4)
Multiplying or dividing an even number of negative terms equals a positive
7×4
Multiply the numbers
28
−16x2−28xy3z+28yzx−(−7yz×7y3z)
Multiply the terms
More Steps

Evaluate
−7yz×7y3z
Multiply the numbers
−49yzy3z
Multiply the terms
More Steps

Evaluate
y×y3
Use the product rule an×am=an+m to simplify the expression
y1+3
Add the numbers
y4
−49y4z×z
Multiply the terms
−49y4z2
−16x2−28xy3z+28yzx−(−49y4z2)
Solution
−16x2−28xy3z+28yzx+49y4z2
Show Solution