find the product:
1. (3m-4n)(2m-3n)
2. (7x+2y)(x+4y)
3. (0.08x-0.5y)(1.5x-3y)
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Step-by-step explanation:
1.(3m−4n)(2m−3n)
=(3m+−4n)(2m+−3n)
=(3m)(2m)+(3m)(−3n)+(−4n)(2m)+(−4n)(−3n)
=6m2−9mn−8mn+12n2
=6m2−17mn+12n2
2.(7x+2y)(x+4y)
=(7x+2y)(x+4y)
=(7x)(x)+(7x)(4y)+(2y)(x)+(2y)(4y)
=7x2+28xy+2xy+8y2
=7x2+30xy+8y2
3.(0.08x−0.5y)(1.5x−3y)
=(0.08x+−0.5y)(1.5x+−3y)
=(0.08x)(1.5x)+(0.08x)(−3y)+(−0.5y)(1.5x)+(−0.5y)(−3y)
=0.12x2−0.24xy−0.75xy+1.5y2
=0.12x2−0.99xy+1.5y2
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