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\(\dfrac{63^3-37^3}{26}+\dfrac{63}{37}\)
\(=100+2\cdot63\cdot37+\dfrac{63}{37}\)
\(=\dfrac{176257}{37}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\dfrac{63^3-37^3}{26}+\dfrac{63}{37}\)
\(=100+2\cdot63\cdot37+\dfrac{63}{37}\)
\(=\dfrac{176257}{37}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 1:
\(a,=6x^2+19x-7-6x^3-4x^2+7x=-6x^3+2x^2+26x-7\\ b,B=26\cdot\left(63^2+63\cdot37+37^2\right):26+63\cdot37\\ =63^2+63\cdot37+37^2+63\cdot37\\ =\left(63+37\right)^2=100^2=10000\)
Bài 2:
\(a,=x\left(y^2-25\right)=x\left(y-5\right)\left(y+5\right)\\ b,=\left(x-y\right)\left(x+2\right)\\ c,=\left(x-3\right)\left(x^2-4\right)=\left(x-2\right)\left(x-3\right)\left(x+2\right)\)
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Bài 2:
c: \(=x^2\left(x-3\right)-4\left(x-3\right)\)
\(=\left(x-3\right)\left(x-2\right)\left(x+2\right)\)
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3663−1 ⋮ 36−1=35 ⋮ 7
3663−1=(3663+1)−2 :37 dư −2 => 3663không chia hết cho 37
=> đpcm
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1. B = 372 + 2.37.63 + 632 = ( 37 + 63 )2 = 1002 = 10000 . ( bài này bạn ghi sai đề )
2. B = 152 - 30.115 + 1152 = 152 - 2.15.115 + 1152 = ( 15 - 115 )2 = ( -100 )2 = 10000 .
3. B = 422 + 512 - 322 - 412 = ( 422 - 412 ) + 512 - 322 = ( 42 - 41 )( 42 + 41 ) + 16.32 - 322
= 83 + 32( 16 - 32 )
= 83 + 32( -16 )
= 83 + 512 = -429 .
4. B = x2 + 2x + 3 với x = 19
Thay x = 19 vào biểu thức , ta được :
B = 192 + 2.19 + 3 = ( 192 + 2.19 + 1 ) + 2 = ( 19 + 1 )2 + 2 = 202 +2 = 400 + 2 = 402 .
Mình làm xong đầu tiên k mình nha .
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\(\frac{63^3+13^3}{76}-13.63\)
\(=\frac{\left(63+13\right)\left(63^2-63.13+13^2\right)}{76}-13.63\)
\(=\frac{76\left(63^2-63.13+13^2\right)}{76}-13.63\)
\(=\left(63^2-63.13+13^2\right)-13.63\)
\(=63^2-2.13.63+13^2\)
\(=\left(63-13\right)^2=50^2=2500\)