Illustrative Math - Algebra 2 - Unit 2 - Lesson 24

Last updated 11 months ago

7 questions

Illustrative Math - Algebra 2 - Unit 2 - Lesson 24

Last updated 11 months ago

7 questions

Is a^{6}+b^{6}=(a^{2}+b^{2})(a^{4}-a^{2}b^{2}+b^{4}) an identity? Explain or show your reasoning.

Match each lettered expression with the number of an expression equivalent to it.

Draggable item		Corresponding Item
\frac{a+1}{a-1}+\frac{a+1}{a}		\frac{2a^{2}}{a^{2}-1}
\frac{a}{a+1}+\frac{a}{a-1}		\frac{3a+1}{a^{2}+a}
\frac{1}{a}+\frac{2}{a+1}		\frac{2a+1}{a^{2}+a}
\frac{a}{a-1}-\frac{1}{a+1}		\frac{2a^{2}+a-1}{a^{2}-a}
\frac{1}{a}+\frac{1}{a+1}		\frac{a^{2}+1}{a^{2}-1}

Let (x^{2}+5x+4)(x+2)=A(x+1). If this is an identity, what is a possible expression for A?

What are the points of intersection between the graphs of the functions f(x)=(x+6)(2x+1) and g(x)=2x+1?

Match each expression in the lettered list with the number of an expression equivalent to it.

Draggable item		Corresponding Item
x^{4}-36		x^{3}-3x^{2}+3x-1
(x+6)(x-6)		(x^{2}+6)(x^{2}-6)
(x-1)^{3}		x^{2}-36
(x+2)^{3}-x^{3}		(2x+2)(3x+2)
(x-1)(x^{3}+x^{2}+x+1)		x^{4}-1

This lesson is from Illustrative Mathematics. Algebra 2, Unit 2, Lesson 24. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/3/2/24/index.html ; accessed 27/July/2021.

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