Mọi người giúp mình được ko ạ?
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(x^2+2x+1=x^2+2\cdot1x+1^2=\left(x+1\right)^2\)
\(4x^2+12x+9=\left(2x\right)^2+2\cdot3\cdot2x+3^2=\left(2x+3\right)^2\)
\(\dfrac{4}{9}a^2-\dfrac{4}{3}a+1=\left(\dfrac{2}{3}a\right)^2-2\cdot\dfrac{2}{3}\cdot1a+1^2=\left(\dfrac{2}{3}a-1\right)^2\)
\(a^2+5a+\dfrac{25}{4}=a^2+2\cdot2,5a+2,5^2=\left(2,5+a\right)^2\)
Ta có: \(\widehat{A_1}=\widehat{B_1}\)
mà hai góc này là hai góc ở vị trí đồng vị
nên a//b(1)
Ta có: \(\widehat{C_1}=\widehat{C_2}\)
mà \(\widehat{C_1}+\widehat{C_2}=180^0\)
nên \(\widehat{C_1}=\widehat{C_2}=90^0\)
=> Suy ra: m\(\perp\)a(2)
Từ (1) và (2) suy ra m\(\perp\)b
Bài 1:
a) (2x+5)(x-6)=2x2+5x-12x-30=2x2-7x-30
b) (2x-1)(x2-4x+3)=2x3-8x2+6x-x2+4x-3=2x3-9x2+10x-3
c) x2-2x-(x-7)(x+2)=x2-2x-x2+7x-2x+14=3x+14
d) 3x-(x+2)(x+4)=3x-x2-2x-4x-8=-x2-3x-8
Bài 2:
a) 2(x+1)=x-1
⇒2x+2=x-1
⇒2x+2-x+1=0
⇒x+3=0
⇒x=-3
b) x(x+2)-x2=1
⇒x2+2x-x2=1
⇒2x=1
⇒x=0,5
c) 3x(x-2)=(3x-1)(x-1)-5
⇒3x2-6x=3x2-x-3x+1-5
⇒3x2-6x-3x2+x+3x-1+5=0
⇒-2x+4=0
⇒-2x=-4
⇒x=2
d) 6(x-1)(x-2)-6x(x+3)=2x
⇒6(x2-x-2x+2)-6x2-18x-2x=0
⇒6x2-6x-12x+12-6x2-18x-2x=0
⇒-38x+12=0
⇒-38x=-12
⇒x=\(\dfrac{6}{19}\)
2\(\sqrt{\dfrac{16}{3}}\) - 3\(\sqrt{\dfrac{1}{27}}\) - \(\dfrac{3}{2\sqrt{3}}\)
= \(\dfrac{8}{\sqrt{3}}\) - \(\dfrac{3}{3\sqrt{3}}\) - \(\dfrac{3}{2\sqrt{3}}\)
= \(\dfrac{8}{\sqrt{3}}\) - \(\dfrac{1}{\sqrt{3}}\) - \(\dfrac{3}{2\sqrt{3}}\)
= \(\dfrac{16}{2\sqrt{3}}\) - \(\dfrac{2}{2\sqrt{3}}\) - \(\dfrac{3}{2\sqrt{3}}\)
= \(\dfrac{11}{2\sqrt{3}}\)
= \(\dfrac{11\sqrt{3}}{6}\)
f, 2\(\sqrt{\dfrac{1}{2}}\)- \(\dfrac{2}{\sqrt{2}}\) + \(\dfrac{5}{2\sqrt{2}}\)
= \(\dfrac{2}{\sqrt{2}}\) - \(\dfrac{2}{\sqrt{2}}\) + \(\dfrac{5}{2\sqrt{2}}\)
= \(\dfrac{5}{2\sqrt{2}}\)
= \(\dfrac{5\sqrt{2}}{4}\)
(1 + \(\dfrac{3-\sqrt{3}}{\sqrt{3}-1}\)).(1- \(\dfrac{3+\sqrt{3}}{\sqrt{3}+1}\))
= \(\dfrac{\sqrt{3}-1+3-\sqrt{3}}{\sqrt{3}-1}\).\(\dfrac{\sqrt{3}+1-3+\sqrt{3}}{\sqrt{3}+1}\)
= \(\dfrac{2}{\sqrt{3}-1}\).\(\dfrac{-2}{\sqrt{3}+1}\)
= \(\dfrac{-4}{3-1}\)
= \(\dfrac{-4}{2}\)
= -2
Bài 5:
1) Ta có: \(2x\left(x+1\right)-2x^2-2x\)
\(=2x^2+2x-2x^2-2x\)
=0
2) Ta có: \(3x\left(x-2\right)-3\left(x^2-2x\right)+4\)
\(=3x^2-6x-3x^2+6x+4\)
=4
3) Ta có: \(\left(x-1\right)\left(x-5\right)-x^2+6x-5\)
\(=x^2-6x+5-x^2+6x-5\)
=0
4) Ta có: \(\left(2x+1\right)\left(x-1\right)-2x^2+x-5\)
\(=2x^2-2x+x-1-2x^2+x-5\)
=-6
5) Ta có: \(\left(3x-2\right)\left(x-1\right)-3x^2+5x-4\)
\(=3x^2-3x-2x+2-3x^2+5x-4\)
=-2
6) Ta có: \(2x\left(x+1\right)-x\left(x+3\right)-x^2+x+5\)
\(=2x^2+2x-x^2-3x-x^2+x+5\)
=5
Chu vi sân hình chữ nhật: \(\left(12+4\right).2=32\left(m\right)\)
Số tiền cần để làm rào: \(32.240000=7680000\left(đồng\right)\left(A\right)\)
A