Answered

Makakuha ng mabilis at maaasahang mga sagot sa IDNStudy.com. Hanapin ang mga solusyong kailangan mo nang mabilis at tiyak sa tulong ng aming mga bihasang miyembro.

what is the other number multiplied to 3x -4y so that the product will be 27xcube - 64ycube?

Sagot :

cube the coefficient of each variables.
Do the inverse operation. Given is product, so look for the quotient which is the other factor.

[tex] \frac{27x ^{2}-64y ^{2} }{3x-4y} [/tex]

The result:  9x² + 12xy + 16y² is a perfect trinomial  which can be factored as
(3x + 4y)².

Therefore, the other factor of number to be multipled to (3x-4y) is (3x + 4y)².

So that:
(3x-4y) (3x+4y)² = 27x³ - 64y³