Question
Use polynomial identities to factor each polynomial.
The correct answer is: ![open parentheses 3 x cubed minus 7 y squared close parentheses open parentheses 9 x to the power of 6 plus 21 x cubed y squared plus 49 y to the power of 4 close parentheses](data:image/png;base64,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)
Related Questions to study
What is the fourth term of (x – 5y)96?
What is the fourth term of (x – 5y)96?
Find the coefficient of x8 in the expansion of (x + 2)11.
Find the coefficient of x8 in the expansion of (x + 2)11.
What do we get after expanding (p + 3q - 2z)2?
What do we get after expanding (p + 3q - 2z)2?
What do we get after factoring 49x2 - 28xy + .4y2?
What do we get after factoring 49x2 - 28xy + .4y2?
_______ is a factor of 4x2 - 9x + 5.
_______ is a factor of 4x2 - 9x + 5.
Expand.
![left parenthesis 2 x plus y right parenthesis cubed](data:image/png;base64,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)
Expand.
![left parenthesis 2 x plus y right parenthesis cubed](data:image/png;base64,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)
Find the first four terms of the expansion
.
Find the first four terms of the expansion
.
Expand using the binomial theorem.
![left parenthesis 1 plus x right parenthesis squared](data:image/png;base64,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)
Expand using the binomial theorem.
![left parenthesis 1 plus x right parenthesis squared](data:image/png;base64,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)
Use polynomial identities to factor each polynomial
Use polynomial identities to factor each polynomial
Determine the independent term of x7 in the expansion of (3x2 + 4)12.
Determine the independent term of x7 in the expansion of (3x2 + 4)12.
What do we get after factorizing x3+ 8y3+ z3 – 4xyz?
What do we get after factorizing x3+ 8y3+ z3 – 4xyz?