Question

Efectueaza folosind factorul comun:


a) 39 x 48 - 48 x 37
b) 13 x 296 + 13 x 24 - 13 x 93
c) 67 x 124 67 x 235 + 33 x 147 + 33 x 212
d) 57 x 49 + 57 x 98 - 147 x 56

Answer 1

a) 39 x 48 - 48 x 37=

48(39-37)=

48*2=96

b) 13 x 296 + 13 x 24 - 13 x 93=

13(296+24-93)=

13*227=2951

c) 67 x 124 67 x 235 + 33 x 147 + 33 x 212

vad ca aici ai uitat un semn

67(124+/-235) +33(147+212)=

de aici rezolva tu pt ca tu stii semnul

d) 57 x 49 + 57 x 98 - 147 x 56=

49(57+57*2-3*56)

49(57+114-168)=

49*3=147

Answer 2

Răspuns:

Explicație pas cu pas:

a)

39 × 48 - 48 × 37  =

→  îl dau factor comun pe 48

= 48 × ( 39 - 37 ) =

= 48 × 2 =

= 96

________________________

b)

13 × 296 + 13 × 24 - 13 × 93  =

= 13 × ( 296 + 24 - 93 ) =

= 13 × ( 320 - 93 ) =

= 13 × 227 =

= 227 × ( 10 + 3 ) =

= 227 × 10 + 227 × 3 =

= 2 270 + 681 =

= 2 951

_________________________

c)

67 × 124 + 67 × 235 + 33 × 147 + 33 × 212  =

= 67 × ( 124 + 235 ) + 33 × ( 147 + 212 ) =

= 67 × 359 + 33 × 359 =

= 359 × ( 67 + 33 ) =

= 359 × 100 =

= 35 900

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d)

57 x 49 + 57 x 98 - 147 x 56 =

= 57 × ( 49 + 98 ) - 147 × 56 =

= 57 × 147 - 147 × 56 =

= 147 × ( 57 - 56 ) =

= 147 × 1 =

= 147