Question

Simplify by using suitable properties (also state them ):

(a) 71 x 56 + 29 x 56

(b) 135 x 52 + 135 x 48

(c) 16825 x 16825 – 16825 x 6285

(d) 569 x 17 + 569 x 13 + 569 x 70​

Answer 1

Answer:

(a) - 71 × 56 + 29 × 56

= 3976 + 29 × 56

= 3976 + 1624

= 5600

Ans

(b) - 135 × 52 + 135 × 48

= 7020 + 135 × 48

= 7020 + 6480

= 13500

Ans

(c) - 16825 × 16825 - 16825 × 6285

= 283080625 - 16825 × 6285

= 283080625 - 105745125

= 177335500

Ans

(d) - 569 × 17 + 569 × 13 + 569 × 70

= 9673 + 569 × 13 + 569 × 70

= 9673 + 7397 + 569 × 70

= 9673 + 7397 + 39380

= 17070 + 39380

= 56450

Ans

May it helped you .

Thank you.

Answer 2

Answer:

property is a×b + c×b =(a+c) b

Step-by-step explanation:

(a) 71 x 56 + 29 x 56

(71+29)56

100×56

5600

(b) 135 x 52 + 135 x 48

(52+48)135

100×135

13500

(c) 16825 x 16825 – 16825 x 6285

16825(16825-6825)

16825×10000

168250000

(d) 569 x 17 + 569 x 13 + 569 x 70

569(17+13+70)

569(100)

569×100

56900