Helppp.. Czas do jutra!!​

Helppp Czas Do Jutra class=

Odpowiedź :

4.

a) 4(3-2m)+5(3m+6)=12-8m+15m+30=7m+42

b) 3(5p+4)-6(2-p)=15p+12-12+6p=21p

c) -4(u-5)-3(2-3u)=-4u+20-6+9u=5u+14

[tex]d) -2(4t-3)-3t(t-2)=-8t+6-3t^2+6t=-3t^2-2t+6[/tex]

[tex]e)5(2w^2+3w)-w(4-2w)=10w^2+15w-4w+2w^2=12w^2+11w[/tex]

[tex]f) -6n(5-2n)+5n(n+3)=-30n+12n^2+5n^2+15n=17n^2-15n[/tex]

[tex]g) 3a(b-5)+2b(3a+5)=2ab-15a+6ab+10b= -15a+8ab+10b[/tex]

[tex]h) 2u(1-v)+v(3u+4)=2u-2uv + 3uv + 4v = 2u +uv + 4v[/tex]

[tex]i) m(2m-n)-2n(4-m)=2m^2-mn-8n+2mn=2m^2+mn-8n[/tex]

[tex]j) -x(2x+y)+4y(x-2y)=-2x^2-xy+4xy-8y^2 = -2x^2+3xy-8y^2[/tex]

Szczegółowe wyjaśnienie:

a) 4(3-2m) + 5(3m+6) = 12 - 8m + 15m + 30 = 42 + 7m

b) 3(5p+4) - 6(2-p) = 15p + 12 -12 + 6p = 21p

c) -4(u-5) - 3(2-3u) = -4u +20 -6 +9u = 5u + 14

d) -2(4t-3) - 3t(t-2) = -8t + 6 -3t² + 6t

e) 5(2w²+3w) - w(4-2w) = 10w² + 15w - 4w + 2w² = 12w² + 11w

f) -6n(5-2n) + 5n(n+3) = -30n +12n² + 5n² +15n = -15n +17n²

g) 3a(b-5) + 2b(3a+5) = 3ab - 15 a + 6ab + 10b = 9ab - 15 a + 10b

h) 2u(1-v) + v(3u+4) = 2u + 2uv + 3uv + 4v = 2u + 5uv + 4v

i) m(2m-n) - 2n(4-m) = 2m² - mn - 8n + 2mn = 2m² + mn - 8n

j) -x(2x + y) + 4y(x-2y) = -2x² -xy + 4xy -8y² = 2x² + 3xy - 8y²