Question

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a. 5-10x+4

b. -9(10-6r)

c. -(7x-5)

d. 10(n+5)-5n

e. 6(v-5)+1

Answer 1

`\text{Distributive property:}\ a(b\pm c)=ab\pm ac\\\\a.\ 5-10x+4=-10x+(5-4)=-10x+1\\\\b.\ -9(10-6r)=(-9)(10)+(-9)(-6r)=-90+54r=54r-90\\\\c.\ -(7x-5)=-1(7x-5)=(-1)(7x)+(-1)(-5)=-7x+5\\\\d.\ 10(n+5)-5n=(10)(n)+(10)(5)-5n=10n+50-5n\\=(10n-5n)+50=5n+50\\\\e.\ 6(v-5)+1=(6)(v)+(6)(-5)+1=6v-30+1\\=6v+(-30+1)=6v-29`