Question
Use polynomial identities to multiply the expressions ? (2x - 5)(2x + 5)
Hint:
, where a and b can be real values, variables or multiples of both. We are asked to use polynomial identities to find the product of the expression.
The correct answer is: (2x - 5)(2x + 5) = 4x2 - 25
Step 1 of 2:
The given expression is 
.It is of the form 
Step 2 of 2:
Use the polynomial identity to find the product of the given expression,
Thus, the product is 
Thus, the product is
We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.
Related Questions to study
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Use polynomial identities to multiply the expressions ? (3x - 7)2
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We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.
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We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.
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Use polynomial identities to multiply the expressions ? (x - 9)(x - 9)
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How could you use polynomial identities to factor the expression 
.
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How could you use polynomial identities to factor the expression .
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How many terms will there be in the expansion of the expression 
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For the expansion of the expression (x + y)n , we would have n+1 terms.
How many terms will there be in the expansion of the expression . Explain how you know
For the expansion of the expression (x + y)n , we would have n+1 terms.
Factor 
in the form 
. Then find the value of a, b and c.
We use polynomial identities to factorize and expand polynomials to reduce time and space.
Factor in the form . Then find the value of a, b and c.
We use polynomial identities to factorize and expand polynomials to reduce time and space.
The sum of the coefficients in the expansion of the expression (a + b)n is 64. Use Pascal’s triangle to find the value of n.
To find the value of n when the sum of coefficients is given, we have to write them as the power of two. The power would be the value of n.
The sum of the coefficients in the expansion of the expression (a + b)n is 64. Use Pascal’s triangle to find the value of n.
To find the value of n when the sum of coefficients is given, we have to write them as the power of two. The power would be the value of n.
A student says that the expansion of the expression 
has seven terms. Describe and correct the error the student may have made ?
The answer can be found the Pascal’s triangle as well. The expansion of an expression 
has n+ 1 term.
A student says that the expansion of the expression has seven terms. Describe and correct the error the student may have made ?
The answer can be found the Pascal’s triangle as well. The expansion of an expression has n+ 1 term.
Expand the expression (2x - 1)4 .what is the sum of the coefficients?
The answer can be also found using the Pascal’s triangle. For an expression (x + y)n , we would consider the (n+1)th row.
Expand the expression (2x - 1)4 .what is the sum of the coefficients?
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Use Pascal’s triangle and the binomial theorem to expand (x + 1)4 . Justify your work.
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Use Pascal’s triangle and the binomial theorem to expand (x + 1)4 . Justify your work.
We can use both the binomial theorem and the Pascal’s triangle to get the expansion of any expression.
Emma factored 
Describe and correct the error Emma made in factoring the polynomial.
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Emma factored Describe and correct the error Emma made in factoring the polynomial.
It is important to recall the law of exponents while to expand polynomial expressions.
Expand 
using binomial theorem.
The answer can be found using the Pascal’s triangle. For , we would consider the (n+1)th row as the coefficients.
Expand using binomial theorem.
The answer can be found using the Pascal’s triangle. For , we would consider the (n+1)th row as the coefficients.
Expand using Pascal’s triangle.
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Use binomial theorem to expand expression (x + y)7 .
The answer can be found using the Pascal’s triangle. For an expression (x + y)n , we would have n + 1 term.
Use binomial theorem to expand expression (x + y)7 .
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