Practice Algebraic Identities (2.5) - Polynomials

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8 questions

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2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
2 questions · about 1 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Use an identity to find $(x + 4)(x + 10)$ .
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Use Identity IV.
Question 2.
Expand $(y + 3)^2$ .
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Identify it as a perfect square.
3Question 3.
What is $(x + y)^2$ equal to?
- x^2 + y^2
- x^2 + 2xy + y^2
- x^2 - 2xy + y^2
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Think about the expansion of a square.
4Question 4.
Does $x^2 - y^2 = (x + y)(x - y)$ hold true?
- True
- False
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Consider the difference of squares.
Question 5.
Prove that $x^3 + y^3 + z^3 - 3xyz = (x + y + z)(x^2 + y^2 + z^2 - xy - yz - zx)$ .
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Use the identity involving three variables.
Question 6.
Factorize the expression: $64a^3 - 27b^3 - 144a^2b + 108ab^2$ .
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Identify the difference of cubes and rearrange terms.

4 more questions in this section. Enroll free to practise them all.