1) \(\left(3x-1\right)\left(2x+7\right)-\left(12x^3+8x^2-14x\right):2x\)

\(=6x^2+19x-7-6x^2-4x+7=15x\)

2) \(\left(63^3-37^3\right):26+63.37\)

\(=\left(63-37\right)\left(63^2+63.37+37^2\right):26+63.37\)

\(\left[26\left(63^2+63.37+37^2\right)\right]:26+63.37\)

\(63^2+2.63.37+37^2=\left(63+37\right)^2=100^2=10000\)

Bài 2: 

c: \(=x^2\left(x-3\right)-4\left(x-3\right)\)

\(=\left(x-3\right)\left(x-2\right)\left(x+2\right)\)

bằng 0

\(\dfrac{63^3-37^3}{26}+\dfrac{63}{37}\)

\(=100+2\cdot63\cdot37+\dfrac{63}{37}\)

\(=\dfrac{176257}{37}\)

\(\dfrac{63^3-37^3}{26}+\dfrac{63}{37}\)

\(=100+2\cdot63\cdot37+\dfrac{63}{37}\)

\(=\dfrac{176257}{37}\)

\(40^2-39^2+38^2-37 ^2+...+2^2-1^2\)

= \(\left(40+39\right)\left(40-39\right)+\left(38+37\right)\left(38-37\right)+....+\left(2+1\right)\left(2-1\right)\)

= \(79.1+75.1+....+3.1\)

= \(79+75+....+3\)

= \(\left(79+3\right)\left[\left(79-3\right):4+1\right]:2\)

= \(82.20:2\)

= \(820\)

\(\left(3x-1\right)^2+2\left(x+3\right)^2+11\left(x+1\right)\left(1-x\right)=6\)

=> \(9x^2-6x+1+2x^2+12x+18-11x^2+11=6\)

=> \(6x+30=6\)

=> \(6x=6-30\)

=> \(6x=-24\)

=> \(x=-24:6=-4\)

  \(\text{a) }40^2-39^2+38^2-37^2+...+2^2-1^2\)

\(=\left(40^2-39^2\right)+\left(38^2-37^2\right)+...+\left(2^2-1^2\right)\)

\(=\left(40-39\right)\left(40+39\right)+\left(38-37\right)\left(38+37\right)+...+\left(2-1\right)\left(2+1\right)\)

\(=1.79+1.75+...+1.3\)

\(=79+75+...+3\)
\(\text{Từ 3 đến 79 có: (79 - 3) : 2 + 1 = 39 (số hạng)}\)

\(\text{Tổng là: }\frac{\left(79+3\right)\times39}{2}=1599\)

\(\text{b) }\left(3x-1\right)^2+2\left(x+3\right)^2+11\left(x+1\right)\left(1-x\right)=6\)

\(\Leftrightarrow\left(9x^2-6x+1\right)+2\left(x^2+6x+9\right)+11\left(1-x^2\right)=6\)

\(\Leftrightarrow9x^2-6x+1+2x^2+12x+18+11-11x^2=6\)

\(\Leftrightarrow\left(9x^2+2x^2-11x^2\right)+\left(-6x+12x\right)+\left(1+18+11\right)=6\)

\(\Leftrightarrow6x+30=6\)

\(\Leftrightarrow6x=6-30\)

\(\Leftrightarrow6x=-24\)

\(\Leftrightarrow x=-4\)

\(6^2.6^4-4^3\left(3^6-4\right)\)

\(=6^6-4^3.3^6-4^3.4\)

\(=6^6-4^3.3^6-4^4\)

tíc mình nha

\(6^2.6^4-4^3\left(3^6-4\right)\)

\(=6^6-4^3.3^6+4^4\)

\(=6^6-\left(2^2\right)^3.3^6+4^4\)

\(=6^6-2^6.3^6+4^4\)

\(=6^6-6^6+4^4\)

\(=4^4\)

6^6-64.725=46656-46400=256

6².6⁴ - 4³.(3⁶ - 4)

= 6⁶ - (4³.3⁶ - 4³.4)

= 6⁶ - 4³.(3²)³ + 4⁴

= (6²)³ - 4³.9³ + 4⁴

= 36³ - 36³ + 4⁴

= 0 + 4⁴

= 4⁴ 

= (2²)⁴ = 2⁸ = 256

pls help me mk đang cần vội :(

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:

\(a,=x\left(y^2-25\right)=x\left(y-5\right)\left(y+5\right)\\ b,=\left(x-y\right)\left(x+2\right)\\ c,=\left(x-3\right)\left(x^2-4\right)=\left(x-2\right)\left(x-3\right)\left(x+2\right)\)