Question

factor each polynomial completely

216x^3 + 8y3​

Answer 1

Answer:

factor each polynomial completely

216x^3 + 8y3

Answer 2

$(6x+2y)(36x^{2} -12xy+4y^{2} ).$

• The positive integers that can divide a number evenly are known as factors in mathematics. Let's say we multiply two numbers to produce a result. The product's factors are the number that is multiplied. Each number has a self-referential element.
• There are several examples of factors in everyday life, such putting candies in a box, arranging numbers in a certain pattern, giving chocolates to kids, etc. We must apply the multiplication or division method in order to determine a number's factors.
• The numbers that can divide a number exactly are called factors. There is therefore no residual after division. The numbers you multiply together to obtain another number are  called factors. A factor is therefore another number's divisor.

Here, according to the given information, we are given that,

$216x^{3} +8y^{3} \\=(6x)^{3} +(2y)^{3} \\=(6x+2y)((6x)^{2} -12xy+(2y)^{2} )\\=(6x+2y)(36x^{2} -12xy+4y^{2} )$

Hence, the expression can be factorized as, $(6x+2y)(36x^{2} -12xy+4y^{2} ).$

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