What is the anwser to 3(2t+5)=5t+25

3(2t+5)=5t+25

Multiply the bracket with 3

(3)(2t)(3)(5)=5t+25

6t+15=5t+25

Move 5t to the other side. Sign changes from +5t to -5t

6t-5t+15=5t-5t+25

6t-5t+15=25

Move +15 to the other side. Sign changes from +15 to -15

6t-5t+15-15=25-15

6t-5t=10

1t=10

divide by 1

1/1t=10/t

t=10

t=10

t=10

Step-by-step explanation:

3(2 t + 5) = 5 t + 25

Multiply parenthesis by 3 ^^^

6t + 15 = 5t + 25

move terms^^

6t - 5t = 25 - 15

collect the terms

and subtract

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb