Jawab:

bentuk sederhana dari (3t + 5)² - 5(2t² + 6t) + (3t + 5).(3t - 5)

= b. 8t²

Penjelasan dengan langkah-langkah:

#bentuk perhitungan aljabar

1. (at + b).(ct - d)

= (at.ct) + (at.-d) + (b.ct) + (b.-d)

2. (at + b)²

= (at² + 2.at.b + b²)

3. d(at² + bt)

= (d.at² + d.bt)

4. (at² + bt + c) - (dt² + et)

= ((at² - dt²) + (bt - et) + c)

5. -t² + b + ct² - d

= -t² + ct² + b - d

Jawab:

(3t + 5)² - 5(2t² + 6t) + (3t + 5).(3t - 5)

= (3t² + 2.3t.5 + 5²) - (5.2t² + 5.6t) + (3t + 5).(3t - 5)

= (9t² + 30t + 25) - (10t² + 30t) + (3t + 5).(3t - 5)

= ((9t² - 10t²) + (30t - 30t) + 25) + (3t + 5).(3t - 5)

= (-t² + 25) + (3t + 5).(3t - 5)

= (-t² + 25) + (3t.3t) + (3t.-5) + (5.3t) + (5.-5)

= (-t² + 25) + (9t²) + (-15t) + (15t) + (-25)

= (-t² + 25) + (9t²) + (-25)

= -t² + 25 + 9t² - 25

= -t² + 9t² + 25 - 25

= 8t² + 25 - 25

= 8t² (b.)