Question

1. Amounts donated by Mr. Lal and Mr. Sohan to an orphanage are represented by the
expressions (2a2 – 3b2 + 6ab) and (5b2 - 2ab + 3a2) respectively.
(a) Find the expression for total amount donated by them. Also,when
a = 100, b = 150 find the total amount.
(b) What value is depicted by them?
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Answer 1

Step-by-step explanation:

$(a)total \: amount \\ (2 {a}^{2} - 3 {b}^{2} + 6ab) + (5 {b}^{2} - 2ab + 3 {a}^{2} ) \\ 2 {a}^{2} - 3 {b}^{2} + 6ab+ 5 {b}^{2} - 2ab + 3 {a}^{2} \\ = ( 5 {a}^{2} + 2 {b}^{2} + 4ab) \\ a = 100 \: \: b = 150 \\ = (5 \times {100}^{2} + 2 \times {150}^{2} + 4 \times 100 \times 150) \\ = 5 \times 10000 + 2 \times 22500 + 60000 \\ = 50000 + 45000 + 60000 \\ = 155000$

Answer 2

Answer:

Step-by-step explanation:

Amounts donated by Mr. Lal  = 2a² - 3b² + 6ab

Amounts donated by Mr. Sohan = 5b² - 2ab  + 3a

total amount donated by them = 2a² - 3b² + 6ab + 5b² - 2ab  + 3a

= 2a² + 2b² + 4ab +  3a

total amount donated by them =   2a² + 2b² + 4ab +  3a

= 2(a + b)²  + 3a

expression for total amount donated by them = 2a² + 2b² + 4ab +  3a

a = 100  b = 150

= 2(100 + 150)²  + 3 *100

= 2 * 250² + 300

= 125000 + 300

= 125300

total amount.​ = 125300

or

2a² + 2b² + 4ab +  3a

= 2(100)² + 2(150)² + 4(100)(150) + 3*100

= 20000 + 45000 + 60000 + 300

= 125300