Với $x=1$ ta có :

$-7.(x+3)^3 .|2x-1|+42$

$=-7.(-1+3)^3.|2.(-1)-1|+42$

$=-7.2^3.|-3|+42$

$=-7.8.3 + 42$

$=-126$

Thay x = -1 vào biểu thức \(-7\left(x+3\right)^3\left|2x-1\right|+42\), ta có

\(-7\left(-1+3\right)^3\left|2\left(-1\right)-1\right|+42\\ =-7\cdot2^3\left|-3\right|+42\\ =-7\cdot8\cdot3+42\\ =-168+42=-126\)

Vậy khi x = -1 thì giá trị biểu thức là -126

6/7+5/8÷5-3/16×(-2)²

=6/7+1/8-3/4

=55/56-3/4

=13/56

b.2/3 + 1/3.( -4/9 + 5/6 ) : 7/12

   =2/3 + 1/3. ( -8/18 + 15/18 ) : 7/12

    =2/3 + 1/3 . 7/18 : 7/12

      =2/3 + 7/54 : 7/12

      = 2/3 + 2/9

       =6/9 + 2/9

        = 8/9

Bài 1:

\(P=2a^2-2b^2-a^2+2ab-b^2+a^2+2ab+b^2+b^2=2a^2-b^2+4ab\\ Q=\left(2x+3\right)^2+\left(2x-3\right)^2-2\left(2x-3\right)\left(2x+3\right)\\ Q=\left(2x+3-2x+3\right)^2=9^2=81\)

Bài 2:

\(Sửa:A=x^2+2xy+y^2-4x-4y+2=\left(x+y\right)^2-4\left(x+y\right)+4-2\\ A=\left(x+y-2\right)^2-2=\left(3-2\right)^2-2=1-2=-1\)

\(\frac{3}{\sqrt{7}-1}+\frac{3}{\sqrt{7}+1}=\frac{3\left[\sqrt{7}+1+\sqrt{7}-1\right]}{\left(\sqrt{7}+1\right)\left(\sqrt{7}-1\right)}=\frac{6\sqrt{7}}{6}=\sqrt{7}\)

\(\frac{3}{\sqrt{X}-1}-\frac{2}{\sqrt{X}+1}+\frac{X-7}{X-1}=\frac{3\left(\sqrt{X}+1\right)-2\left(\sqrt{X}-1\right)+X-7}{\left(\sqrt{X}+1\right)\left(\sqrt{X}-1\right)}=\frac{X+\sqrt{X}-2}{\left(\sqrt{X}+1\right)\left(\sqrt{X}-1\right)}=\frac{\sqrt{X}+2}{\sqrt{X}+1}\)

TÍNH GIÁ TRỊ BIỂU THỨC:

\(\frac{3}{\sqrt{7}-1}\) + \(\frac{3}{\sqrt{7}+1}\)= \(\frac{3\left(\sqrt{7}+1\right)+3\left(\sqrt{7}-1\right)}{\left(\sqrt{7}-1\right)\left(\sqrt{7}+1\right)}\)= \(\frac{3\sqrt{7}+3+3\sqrt{7}-3}{6}\)=\(\frac{6\sqrt{7}}{6}\)=\(\sqrt{7}\)

RÚT GỌN BIỂU THỨC:

\(\frac{3}{\sqrt{X}-1}\)-\(\frac{2}{\sqrt{X}+1}\)+\(\frac{X-7}{X-1}\)

= \(\frac{3\left(\sqrt{X}+1\right)}{\left(\sqrt{X}-1\right)\left(\sqrt{X}+1\right)}\)-\(\frac{2\left(\sqrt{X}-1\right)}{\left(\sqrt{X}-1\right)\left(\sqrt{X}+1\right)}\)+\(\frac{X-7}{\left(\sqrt{X}-1\right)\left(\sqrt{X}+1\right)}\)

= \(\frac{3\sqrt{X}+3-2\sqrt{X}+2+X-7}{\left(\sqrt{X}-1\right)\left(\sqrt{X}+1\right)}\)

= \(\frac{X+\sqrt{X}-2}{\left(\sqrt{X}-1\right)\left(\sqrt{X}+1\right)}\)

= \(\frac{\left(\sqrt{X}+1\right)\left(\sqrt{X}-2\right)}{\left(\sqrt{X}-1\right)\left(\sqrt{X}+1\right)}\)

= \(\frac{\sqrt{X}-2}{\sqrt{X}-1}\)

CHÚC EM HỌC TỐT!

a) \(2^3.3^2=8.9=72\)

b) \(5^{10}:5^7=5^2=25\)

c) \(2^6:2=2^5=32\)

d) \(7^4:7^4=7^0=1\)

e) \(9^5:9^5=9^0=1\)

a) 23.32=8.9=7223.32=8.9=72

b) 510:57=52=25510:57=52=25

c) 5

32

d) $1$

e) $1$

A=(1-2)+(3-4)+...+(199-200)=(-1)+(-1)+...+(-1)=(-1)*100=-100

Ta có: A = 1 – 2 + 3 – 4 +5 – 6 + ⋯ + 199 – 200

=(1-2)+(3-4)+(5-6)+..+(199-200)

=(-1)+(-1)+(-1)+..+(-1)

Tổng trên có số số -1 là: \(\frac{\left(200-1\right):1+1}{2}=100\)(số)

=> A=100.(-1)=-100

sorry mình chỉ biết kết quả thôi là -100.chuan 100% lun