áp dụng hằng đẳng thức là đc nha .

37^2 + 2.37.13 + 13^2

= ( 37 + 13 ) ^2

= 50^2

= 2500

chúc bn hk tốt

a) \(29.31=\left(30-1\right)\left(30+1\right)=30^2-1=900-1=899\)

b) \(33,3^2-2.33,3.3,3+3,3^2=\left(33,3-3,3\right)^2=30^2=900\)

c) \(20,1.19,9=\left(20+0,1\right)\left(20-0,1\right)=20^2-0,1^2=400-0.01=399,99\)

d) \(37^2+2.37.13+13^2=\left(37+13\right)^2=50^2=2500\)

a, \(29.31=\left(30-1\right)\left(30+1\right)=30^2-1=899\)

b, \(33,3^2-2.33,3.3,3+3,3^2=\left(33,3-3,3\right)^2=30^2=900\)

c, \(20,1.19,9=\left(20-0,1\right)\left(20+0,1\right)=20^2-0,1^2=399,99\)

d, \(37^2+2.37.13+13^2=\left(37+13\right)^2=50^2=2500\)

a: \(29\cdot31=30^2-1=900-1=899\)

b: \(33.3^2-2\cdot33.3\cdot3.3+3.3^2\)

\(=\left(33.3-3.3\right)^2\)

=900

c: \(20.1\cdot19.9=20^2-0.1^2=399.9\)

d: \(37^2+2\cdot37\cdot13+13^2=\left(37+13\right)^2=2500\)

a) \(37^2+2\cdot37\cdot13+13^2\)

\(=1369+962+169\)

\(=2500\)

b) \(35^2+24^2-48\cdot35\)

\(=125+576-1680\)

\(=121\)

c) sai quy luật

\(a,37^2+2.37.13+13^2=\left(37+13\right)^2=50^2= 2500\)

\(b,35^2+24^2-2.35.24=\left(35-24\right)^2=11^2=121\)

Ta có : (x + 4)² - (x + 1)(x - 1) = 16

<=> x² + 8x + 16 - (x² - 1) = 16

<=> x² + 8x + 16 - x² + 1 = 16

<=> 8x + 17 = 16

=> 8x = -1

=> x = \(-\frac{1}{8}\)

Ta có : x² - 4x + 4 =0 

<=> x² - 2.x.2 + 2² = 0

<=> (x - 2)² = 0

=> x - 2 = 0

=> x = 2

cam ơn bạn 

bạn có thể giúp mình tiếp dc ko

a, \(27^2+13^2+2.37.13=\left(27+13\right)^2\)

b, \(87^2+57^2-174.67=\left(87-57\right)^2\)

c, \(x^2-2xy+2y^2+2y+1\)

\(=\left(x^2-2xy+y^2\right)+\left(y^2+2y+1\right)\)

\(=\left(x-y\right)^2+\left(y+1\right)^2\)

d, \(4x^2-12x-y^2+2y+1\)

\(=4\left(x^2-3x\right)-\left(y^2-2y+1\right)+2\)

\(=4\left(x^2-\dfrac{3}{2}.x.2+\dfrac{9}{4}-\dfrac{9}{4}\right)-\left(y-1\right)^2+2\)

\(=\left(x-\dfrac{3}{2}\right)^2-\left(y-1\right)^2-7\)

\(37^2+2.37.13+13^2\\ =\left(37+13\right)^2=50^2=2500\)

Sao ko gõ Latex, gõ thế này không nhìn dc

c) \(51,7^2-2.51,7.31,7+31,7^2=\left(51,7-31,7\right)^2\)

1, ( 37 . 13 - 13 . 1 ) : ( 24 + 37 . 12 )

    [ 13 . ( 37 - 1 ) ] : ( 12 . 2 + 37 . 12 )

    ( 13 . 36 ) : [ 12 ( 2 + 37 ) ]

   ( 13 . 36 ) : ( 12 . 36 )

    36

chắc z ^^ 

lm bừa ko cần mt

chac dung do 

bạn michial làm sai rồi phải biến đổi số bị chia để được số chia và đáp số là 1

a) Ta có: \(37^2+2\cdot37\cdot13+13^2\)

\(=\left(37+13\right)^2=50^2=2500\)

b) Ta có: \(201^2=\left(200+1\right)^2\)

\(=200^2+2\cdot200+1\)

\(=40000+200+1=40201\)

c) Ta có: \(37\cdot43=\left(40+3\right)\cdot\left(40-3\right)\)

\(=40^2-3^2=1600-9=1591\)