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Express the product of -9p3r and the quantity 2p - 3r in simplified form.
The translated expression would be -9p3r(2p - 3r). Noticed that the key word product means multiply. Use the distributive property to multiply each term within the parentheses by -9p3r: -9p3r × 2p - (-9p3r) × 3r. Simplify by multiplying the coef?cients of each term and adding the exponents of the as variables: -9 × 2p3+1r - (-9 × 3p3r1+1). Simplify: -18p4r - (-27p3r2). Change subtraction to addition and change the sign of the subsequent term to its opposite: -18p4r + (+27p3r2); this simpli?es to: -18p4r + 27p3r2.
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