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\(a,\)\(x^{16}-1\)
\(=\left(x^8+1\right)\left(x^8-1\right)\)
\(=\left(x^8+1\right)\left(x^4+1\right)\left(x^4-1\right)\)
\(=\left(x^8+1\right)\left(x^4+1\right)\left(x^2+1\right)\left(x^2-1\right)\)
\(=\left(x^8+1\right)\left(x^4+1\right)\left(x^2+1\right)\left(x+1\right)\left(x-1\right)\)
a. 25 - \(x^2\) = (5-x) (5+x)
b) -196 + 4\(x^2\) = 196 - 4\(x^2\) = (14- 2x) (14+2x)
c)\(5^4-81x^4\) = \(\left[\left(5^2\right)^2\right]-\left[\left(81x^2\right)^2\right]\) = (\(\left(5^2-81x^2\right)\left(5^2+81x^2\right)\)
\(a,25-e=\left(5-\sqrt{e}\right)\left(5+\sqrt{e}\right)\)
\(b,-196+g=-\left(196-g\right)=-\left(14-\sqrt{g}\right)\left(14+\sqrt{g}\right)\)
\(c,2^6-47^2=\left(2^3\right)^2-47^2=\left(2^3-47\right)\left(2^3+47\right)\)
\(d,5^4-81x^4=\left(5^2\right)^2-\left(9x^2\right)^2=\left(5^2-9x^2\right)\left(5^2+9x^2\right)=\left(25-9x^2\right)\left(25+9x^2\right)\)
\(i,\dfrac{25}{16}-9y^2=\left(\dfrac{5}{4}-3y\right)\left(\dfrac{5}{4}+3y\right)\)
\(a,\frac{3}{-56}-\frac{-7}{64}=\frac{-3.8}{448}+\frac{7.7}{448}=\frac{25}{448}\)
\(b,\frac{-5}{54}-\frac{11}{-36}=-\frac{5}{54}+\frac{11}{36}=\frac{-5.2}{108}+\frac{3.11}{108}=\frac{23}{108}\)
\(c,\frac{9}{28}+\frac{-2}{29}=\frac{9.29-2.28}{812}=\frac{205}{812}\)
\(d,\frac{-5}{-72}+\frac{7}{-48}=\frac{5}{72}-\frac{7}{48}=\frac{5.2-7.3}{144}=-\frac{11}{144}\)
\(e,\frac{-5y}{2x^3}+\frac{2x}{3y}=\frac{-5y.3y+2x.2x^3}{6x^3y}=\frac{-15y^2+4x^4}{6x^3y}\)
\(f,\frac{2}{3x^4y^5}+\frac{5y^3}{2x^6}=\frac{2.2x^2+5y^3.3y^5}{6x^6y^5}=\frac{4x^2+15y^8}{6x^6y^5}\)
Bài 44: (SBT/12):
a. (7.35 - 34 + 36) : 34
= (7.35 : 34) + (-34 : 34) + (36 : 34)
= 7 . 3 - 1 + 32
= 21 - 1 + 9
= 29
b. (163 - 642) : 83
= [(2.8)3 - (82)2 ] : 83
= (23 . 83 - 84) : 83
= ( 23 . 83 : 83) + (-84 : 83)
= 23 - 8
= 8 - 8
= 0
a) \(\left(7.3^5-3^4+3^6\right):3^4\)
\(=7.3^5:3^4-3^4:3^4+3^6:3^4\)
\(=7.3^{5-4}-3^{4-4}+3^{6-4}\)
\(=7.3^1-3^0+3^2\)
\(=7.3-1+9\)
\(=21-1+9\)
\(=20+9\)
\(=29\)
b) \(\left(16^3-64^2\right):8^3\)
\(=\left[\left(2^4\right)^3-\left(2^6\right)^2\right]:\left(2^3\right)^3\)
\(=\left(2^{4.3}-2^{6.3}\right):2^{3.3}\)
\(=\left(2^{12}-2^{12}\right):2^9\)
\(=2^{12-9}-2^{12-9}\)
\(=2^3-2^3\)
\(=8-8\)
\(=0\)
1)\(8x^6-\frac{1}{125}y^3=\left(2x^2\right)^3-\left(\frac{1}{5}y\right)^3\)
Bạn tự lm tiếp.AD HĐT số (7)
2)\(\left(x+4\right)^3-64=\left(x+4\right)^3-4^3\)
AD HĐT số (7).Tự lm tiếp
3)\(x^6+1=\left(x^2\right)^3+1\)
AD HĐT số (7).Tự lm tiếp
4)\(x^9+1=\left(x^3\right)^3+1\)
AD HĐT số (7).Tự lm tiếp
5,\(x^{12}-y^4=\left(x^6\right)^2-\left(y^2\right)^2\)
AD HĐT số (3).Tự lm tiếp
6)\(x^3+6x^2+12x+8=\left(x+2\right)^3\)
AD HĐT số (4)
7)\(x^3-15x^2+75x-125=\left(x-5\right)^3\)
AD HĐT số (5)
8)\(27a^3-54a^2b+36ab^2-8b^3\)
\(=\left(3a\right)^3-3.\left(3a\right)^2.2b+3.3a.\left(2b\right)^2-\left(2b\right)^3\)
\(=\left(3a-2b\right)^3\)
AD HĐT số (5)
1.
x4y4+4=[(x2y2)2+2.x2y2.2+22]-4x2y2
=(x2y2+2)2-(2xy)2
bạn tính nốt đi, câu 2, 4, 6 tương tự
câu 4 khá dài bạn lấy số đấy chia cho (x+1) ra nháp rồi tính ngược lại sẽ ra
1: \(=x^4y^4+4+4x^2y^2-4x^2y^2\)
\(=\left(x^2y^2+2\right)^2-4x^2y^2\)
\(=\left(x^2y^2+2xy+2\right)\left(x^2y^2-2xy+2\right)\)
2: \(=x^4y^4+16x^2y^2+64-16x^2y^2\)
\(=\left(x^2y^2+8\right)^2-16x^2y^2\)
\(=\left(x^2y^2+8-4xy\right)\left(x^2y^2+8+4xy\right)\)
3: \(=x^4+4x^2+4-x^2\)
\(=\left(x^2+2\right)^2-x^2\)
\(=\left(x^2+x+2\right)\left(x^2-x+2\right)\)
4: \(=4x^4y^4+1+4x^2y^2-4x^2y^2\)
\(=\left(2x^2y^2+1\right)^2-\left(2xy\right)^2\)
\(=\left(2x^2y^2+1-2xy\right)\left(2x^2y^2+1+2xy\right)\)
6: \(=x^4+4y^4+4x^2y^2-4x^2y^2\)
\(=\left(x^2+2y^2\right)^2-\left(2xy\right)^2\)
\(=\left(x^2+2y^2+2xy\right)\left(x^2+2y^2-2xy\right)\)
a: \(=\dfrac{3^3\cdot2^6}{3^{-4}\cdot2^6}=3^7\)
b: \(=\left(\dfrac{3}{7}\right)^5\cdot\left(\dfrac{3}{7}\right)\cdot\dfrac{5^6}{3^6}:\left(\dfrac{625}{343}\right)^2\)
\(=\dfrac{3^6}{7^6}\cdot\dfrac{5^6}{3^6}:\dfrac{5^8}{7^6}\)
\(=\dfrac{1}{5^2}\)
c: \(=5^{4+3}\cdot\left(\dfrac{5}{2}\right)^{-5}\cdot\dfrac{1}{25}\)
\(=5^5\cdot\left(\dfrac{2}{5}\right)^5=2^5\)
a, \(x^3+8=x^3+2x^2-2x^2-4x+4x+8\)
\(=x^2.\left(x+2\right)-2x.\left(x+2\right)+4.\left(x+2\right)\)
\(=\left(x+2\right).\left(x^2-2x+4\right)\)
Trả lời :
\(5^6-64+1000000\)
\(=15625-64+1000000\)
\(=15561+1000000\)
\(=1015561\)
- Study well -
56-64+1000000
=15625-64+1000000
=15561+1000000
=1015561.
#Học tốt.