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Анатолий Едигорян · Answer 1 · 2019-09-18 09:16:28+3:00

31.2

2) (8+у) * (у-8) = (у+8) * (у-8) = у - 64

4) $(a+\frac23b) * (a-\frac23b) =a^2 - (\frac23b)^2 = a^2- \frac49 b^2$

6) $(\frac415 n-m) * (m+\frac415 n)=(\frac415 n-m) * (\frac415 n+m) = \frac16225 n^2 -m^2$

8) (-4a+3b) * (3b+4a) = (3b - 4a) * (3b +4a) = 9b - 16a

10) $(\frac54 c + \frac37d) * (\frac37d-\frac54c) = (\frac37 d+\frac54c) * (\frac37d-\frac54c) = \frac949d^2 -\frac2516c^2$

12) $(\frac15 a+\frac19 b)*(\frac19 b - \frac15 a) = (\frac19b+\frac15a)*(\frac19 b-\frac15 a)= \frac181b^2 - \frac125a^2$

31.3

2) 64-b = 8 - b = (8-b) * (8+b)

4) 2,89 - d = $\frac289100$ -d = $\frac1100 * (289-100d^2) = \frac1100 * (17-10d) * (17+10d)$

6) $\frac100121 -y^2=\frac11218(100-121y^2) = \frac1121 * (10-11y) * (10+11y)$

8) $t^2 -\frac400441 = \frac1441 8(441t^2 - 400) = \frac1441* (21t-20) * (21t+20)$

10) -16 + 49y = 49y - 16 = (7y-4) * (7y+4)

12) $\frac425t^2-36=\frac425*(t^2-25*9)=\frac425*(t^2 - 225) = \frac425* (t-15) * (t+15)$