Practice Important Algebraic Identities (2.3.1) - Algebra

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6 sample questions

Question 1.
Expand $(x + 1)^2$
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Remember the square of a sum identity.
Question 2.
What is $a^2 - b^2$ if $a = 5$ and $b = 3$ ?
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Use the difference of squares identity.
3Question 3.
What is $(a + b)^2$ ?
- a^2 + b^2
- a^2 + 2ab + b^2
- a^2 - b^2
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Focus on the structure of the binomial.
4Question 4.
True or false: $a^2 - b^2 = (a + b)(a - b)$ .
- True
- False
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Remember the product identity for squares.
Question 5.
Prove that $(x + y)^2 + (x - y)^2 = 2x^2 + 2y^2$ using algebraic identities.
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Expand using identity definitions.
Question 6.
Given values for a and b, such that $a = 5$ and $b = 2$ , calculate $(a + b)^3 - (a - b)^3$ .
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First calculate the cubes separately before taking the difference.

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