math

Lana uses factoring by grouping to factor the polynomial 8x2y−10xy2+12x−15y. Her work is shown below, but the last two lines of work are missing.

8x2y−10xy2+12x−15y
(8x2y−10xy2)+(12x−15y)
__[blank 1]__
__[blank 2]__

Select one statement for each blank to correctly complete Lana’s work.

Lana uses factoring by grouping to factor the polynomial 8x2y−10xy2+12x−15y. Her work is shown below, but the last two lines of work are missing.

8x2y−10xy2+12x−15y
(8x2y−10xy2)+(12x−15y)
__[blank 1]__
__[blank 2]__

Select one statement for each blank to correctly complete Lana’s work.

blank 1: 2xy(4x−5y)+3(4x−5y)
blank 1: −4x(2xy+3)+5y(2xy+3)
blank 2: (2xy−3)(4x+5y)
blank 1: −2xy(4x+5y)−3(4x+5y)
blank 2: (2xy+3)(4x−5y)
blank 2: −(2xy+3)(4x−5y)
blank 2: (2xy−3)(4x+5y)
blank 1: −2xy(4x+5y)−3(4x+5y)
blank 2: (2xy+3)(4x−5y)
blank 2: −(2xy+3)(4x−5y)

I believe it is
blank 1: −4x(2xy+3)+5y(2xy+3) and blank 2: (2xy+3)(4x−5y)

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  1. 8x^2y−10xy^2+12x−15y
    = 2xy(4x-5y) + 3(4x-5y)
    = (2xy+3)(4x-5y)

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