Answer:
blank 1: 2xy(4x-5y)+3(4x-5y)
blank 2: (2xy+3)(4x-5y)
Step-by-step explanation:
Using factoring group to factor the polynomial 8x²y−10xy²+12x−15y
Step 1: Group the polynomial function
(8x²y−10xy²)+(12x−15y)
Step 2: Factor the common value and variables from the functions in parentheses.
= (2xy*4x - 2xy(5y)) + (3(4x) - 3(5y))
= 2xy(4x-5y)+3(4x-5y)
Step 3: Rearrange the expression by selecting one of the function in parentheses and combine those not in parenthesis.
(2xy+3)(4x-5y)
The final expression gives the factor form of the polynomial.
Hence the statement for each blank that correctly completes Lana's work are;
blank 1: 2xy(4x-5y)+3(4x-5y)
blank 2: (2xy+3)(4x-5y)
