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a,16x2-9
=42x2-32
=(4x-3)(4x+3) HĐT thứ 3
b,9a2-25b2
=32a2-52b2
=(3a-5b)(3a+5b) HĐT thứ 3
c,81-y4
=32.32-y2.y2
=(32-y2)
=(3-y)(3+y) HĐT thứ 3
d,(2x+y)2-1
=(2x+y-1)(2x+y-1) HĐT thứ 3
e,(x+y+z)2-(x-y-z)2
cái này là HĐT thứ 8 mở rộng bạn lên mạng tìm nha
a) \(16x^2-9=\left(4x\right)^2-3^2=\left(4x-3\right).\left(4x+3\right)\)
b) \(9a^2-25b^4=\left(3a\right)^2-\left(5b^2\right)^2=\left(3a-5b^2\right).\left(3a+5b^2\right)\)
c) \(81-y^4=9^2-\left(y^2\right)^2=\left(9-y^2\right).\left(9+y^2\right)\)
d)\(\left(2x+y\right)^2-1=\left(2x+y\right)^2-1^2=\left(2x+y-1\right).\left(2x+y+1\right)\)
a) \(\left(5xy^3\right)^2-2.5xy^3.6yz^2+\left(6yz^2\right)^2\)=\(\left(5xy^3-6yz^2\right)^2\)
b) \(\left(\frac{1}{3}u^2v^3\right)^2-2.\frac{1}{3}u^2v^3.\frac{1}{2}u^3v+\left(\frac{1}{2}u^3v\right)^2\)=\(\left(\frac{1}{3}u^2v^3-\frac{1}{2}u^3v\right)^2\)
\(x^2+5x+\frac{25}{4}\)
\(x+\left(\frac{5}{2}\right)^2+2.\frac{5}{2}.x\)
\(\left(x+\frac{5}{2}\right)^2\)
\(\frac{k}{me}\)
a) \(m^2-n^2=\left(m-n\right)\left(m+n\right)\)
b) \(\frac{1}{4}-x^2=\left(\frac{1}{2}-x\right)\left(\frac{1}{2}+x\right)\)
c) \(x^2-6x+9=\left(x-3\right)^2\)
d) \(x^2+10x+25=\left(x+5\right)^2\)
m2 - n2 = ( m - n )( m + n )
1/4 - x2 = ( 1/2 )2 - x2 = ( 1/2 - x )( 1/2 + x )
x2 - 6x + 9 = x2 - 2.3.x + 32 = ( x - 3 )2
x2 + 10x + 25 = x2 + 2.5.x + 52 = ( x + 5 )2
a, b, c, dung hang dang thuc A2-B2 =9A-B) (A+B)
d) a4 - 16 =(a2)2 -42= (a2-4) (a2+4) =(a-2)(a+2) (a2+4)
\(a..9-4x^2=3^2-\left(2x\right)^2=\left(3-2x\right)\left(3+2x\right)\)
\(b..16x^2-25=\left(4x\right)^2-5^2=\left(4x-5\right)\left(4x+5\right)\)
\(c..a^4-16=\left(a^2\right)^2-4^2=\left(a^2-4\right)\left(a^2+4\right)\)
\(d..\left(a+b\right)^2-1=\left(a+b\right)^2-1^2=\left(a+b-1\right)\left(a+b+1\right)\)
k mik đi
a , \(16x^2+8x+1=\left(4x\right)^2+2.4x.1+1^2=\left(4x+1\right)^2\)
b , \(x^2-x+\dfrac{1}{4}=x^2-2.x.\dfrac{1}{2}+\left(\dfrac{1}{2}\right)^2=\left(x-\dfrac{1}{2}\right)^2\)
a,(4x+1)2 e,\(\left(\dfrac{3}{2}x-\dfrac{2}{5}\right)^2\)
b,(x-\(\dfrac{1}{2}\))2 g,\(\left(xy+1\right)^2\)
c,(\(x+\dfrac{3}{2}\))2 h,\(\left(x+5\right)^2\)
d,\(\left(x-\dfrac{5}{4}\right)^2\) i,\(-\left(x-6\right)^2\)
k,\(-\left(2x+3\right)^2\)
\(\frac{4}{9}x^4-16x^2=\left(\frac{2}{3}x^2\right)^2-\left(4x\right)^2=\left(\frac{2}{3}x^2+4x\right).\left(\frac{2}{3}x^2-4x\right)\)