abc nhân bc = 3abc
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3abc = abc x 9
=> 3000 + abc = abc x 9
=> 3000 = 8 x abc
=> abc = 3000 : 8
=> abc = 375
Vậy abc = 375
Trả lời:
\(3abc=abc\times9\)
\(\Leftrightarrow3000+abc=abc\times9\)
\(\Leftrightarrow3000=abc\times9-abc\)
\(\Leftrightarrow3000=8\times abc\)
\(\Leftrightarrow abc=375\)
Vậy \(abc=375\)
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a)tach abc thanh abc+8
b)abc x 9=3abc
=>abc x 9=3000+abc
=>abc x9 -abc =3000
=>abc x (9-1)=3000
=>abx x8=3000
=>abc=3000:8
=>abc=375
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Ta có: \(D=ab\left(a+b\right)+bc\left(b+c\right)+ca\left(c+a\right)+3abc\)
\(=a^2b+ab^2+b^2c+bc^2+ac^2+a^2c+3abc\)
\(=\left(a+b\right)\left(b+c\right)\left(a+c\right)\)
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ta có: ab(a + b) + bc(b + c) + ac(a + c) + 3abc
= ab(a + b) + abc + bc(b + c) + abc + ac(a + c) + abc
= ab(a + b + c) + bc(a + b + c) + ac(a + b + c)
= (a + b + c)(ab + bc + ca)
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2: =abc-bc-ab-ac+a+b+c-1
=bc(a-1)-ab+b-ac+c+a-1
=bc(a-1)-b(a-1)-c(a-1)+(a-1)
=(a-1)(bc-b-c+1)
=(a-1)(b-1)(c-1)
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Bài làm
3abc = abc x 96
3000 + abc = abc x 96
3000 = abc x 95
3000 : 95 = abc
Bạn có thể viết rõ abc bằng bao nhiêu ko? vì mình tính 3000:95 bị dư
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\(ab\left(a+b\right)+bc\left(b+c\right)+ca\left(c+a\right)+2abc\)
\(=ab\left(a+b\right)+abc+bc\left(b+c\right)+abc+ca\left(c+a\right)\)
\(=ab\left(a+b+c\right)+bc\left(b+c+a\right)+ca\left(c+a\right)\)
\(=\left(a+b+c\right)\left(ab+bc\right)+ca\left(c+a\right)\)
\(=b.\left(a+b+c\right)\left(a+c\right)+ca\left(c+a\right)\)
\(=\left(a+c\right)\left[b.\left(a+b+c\right)+ca\right]\)
\(=\left(a+c\right)\left(ab+b^2+bc+ca\right)\)
\(=\left(a+c\right)\left[a\left(b+c\right)+b\left(b+c\right)\right]\)
\(=\left(a+c\right)\left(b+c\right)\left(a+b\right)\)
\(ab\left(a+b\right)+bc\left(b+c\right)+ca\left(c+a\right)+3abc\)
\(=ab\left(a+b\right)+abc+bc\left(b+c\right)+abc+ca\left(c+a\right)+abc\)
\(=ab\left(a+b+c\right)+bc\left(b+c+a\right)+ca\left(c+a+b\right)\)
\(=\left(a+b+c\right)\left(ab+bc+ac\right)\)
Tham khảo nhé~