multiplication in algebra (STD V and STD VI)

Questions on Algebra (Multiplication)

1.       3 x (4a + 5b)

2.       4 x ( a + 3b + 5c)

3.       P x (2a + 3b)

4.       R x (5k + 6j – 3l)

5.       ab x ( 4a + 5b)

6.       ac x (2ac + 3 ab)

Answers:

1.       3 x 4a + 3 x 5b

= 12a + 15b

2.       4 x (a + 3b + 5c)

=4 x a + 4 x² 3b + 4 x 5c

=4a + 12b + 20c

3.       p x ( a + 3b + 5c)

= p x a + p x 3b + p X 5c

= pa + 3pb + 5pc

4.       R x (5k + 6j – 3l)

= R x 5k + R x 6J –R x 3l

= 5Rk + 6Rj – 3Rl

5.       ab x  ( 4a + 5b)

=ab x 4a + ab x 5b

= 4a²b + 5 ab²

6.       ac x (2ac + 3ab)

= ac x 2ac + ac x 3ab

= 2a²c² + 3a²bc