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Name Date Class LESSON6x 66Practice C Special Products of BinomialsMultiply.1. (3x + 1)22. (5 m + 0.5)2 4. (2x + 3y)5. (2a + 9b)22 8. (10. (3×3 7)21 y2)2 4 14. (16. (a b + ab) (a b ab) 21 1 + y)
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How to fill out special products of binomials
How to fill out special products of binomials
01
To fill out special products of binomials, follow these steps:
02
Identify the two binomials that need to be multiplied together.
03
Write down each term of the first binomial and multiply it by each term of the second binomial.
04
Combine like terms and simplify the expression if possible.
05
Repeat the process for any other binomials that need to be multiplied.
06
To fill out special products like the square of a binomial, use the following formulas:
07
- (a + b)^2 = a^2 + 2ab + b^2
08
- (a - b)^2 = a^2 - 2ab + b^2
09
- (a + b)(a - b) = a^2 - b^2
10
- (a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3
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- (a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3
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- (a + b)(a^2 - ab + b^2) = a^3 + b^3
13
- (a - b)(a^2 + ab + b^2) = a^3 - b^3
14
- (a + b)^4 = a^4 + 4a^3b + 6a^2b^2 + 4ab^3 + b^4
15
- (a - b)^4 = a^4 - 4a^3b + 6a^2b^2 - 4ab^3 + b^4
Who needs special products of binomials?
01
Students studying algebra and mathematics generally need to understand and use special products of binomials.
02
Special products of binomials are particularly useful in simplifying and expanding algebraic expressions, solving equations, and manipulating polynomials.
03
They are commonly used in topics such as factoring, graphing, and solving quadratic equations.
04
Anyone interested in advanced mathematical concepts and problem-solving would benefit from learning and mastering special products of binomials.
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What is special products of binomials?
Special products of binomials refer to the result of multiplying two binomials using the distributive property.
Who is required to file special products of binomials?
Students studying algebra or mathematics are typically required to learn and practice special products of binomials.
How to fill out special products of binomials?
Special products of binomials can be filled out by multiplying the terms of two binomials and simplifying the result.
What is the purpose of special products of binomials?
The purpose of special products of binomials is to practice algebraic multiplication and simplify algebraic expressions.
What information must be reported on special products of binomials?
The information reported on special products of binomials includes the original binomials, the multiplication process, and the simplified result.
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