How do you factor #27x^3+8y^3#?

Answer 1

#(3x+2y)(9x^2-6xy+4y^2)#

#27x^3+8y^3#
=#(3x)^3+(2y)^3#
=#(3x+2y)((3x)^2-(3x)(2y)+(2y)^2)#
=#(3x+2y)(9x^2-6xy+4y^2)#
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Answer 2

#(3x+2y)(9x^2-6xy+4y^2)#

Apply the rule #(a^3+b^3)=(a+b)(a^2-ab+b^2)#
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Answer 3

#(3x+2y)(9x^2-6xy+4y^2)#

#"this is a "color(blue)"sum of cubes"#
#"which factors in general as"#
#•color(white)(x)a^3+b^3=(a+b)(a^2-ab+b^2)#
#27x^3=(3x)^3rArra=3x#
#8y^3=(2y)^3rArrb=2y#
#rArr27x^3+8y^3=(3x+2y)((3x)^2-(3x xx2y)+(2y)^2)#
#color(white)(xxxxxxxxxx)=(3x+2y)(9x^2-6xy+4y^2)#
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Answer 4

To factor 27x^3 + 8y^3, you can use the sum of cubes formula, which states that a^3 + b^3 = (a + b)(a^2 - ab + b^2). Applying this formula to the given expression, we get (3x + 2y)(9x^2 - 6xy + 4y^2).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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