Question

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

Answer 1

expression for total amount donated by them = 2a² + 2b² + 4ab +  3a =  2(a + b)²  + 3a   and total Amount = 125300 if a = 100 & b = 150

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

Learn More:

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Answer 2

Given: Amounts donated by Mr. Lal and Mr. Sohan are represented by the expressions $(2a^{2}-3b^{2}+6ab)$ and $(5b^{2}-2ab+3a)$ and $a=100,b=150$

To Find: Find the total amount donated by them.

Step-by-step explanation:

Total amount donated by them that means addition of both amount.

$=(2a^{2}-3b^{2}+6ab)+(5b^{2}-2ab+3a)$

$=2a^{2}-3b^{2}+6ab+5b^{2}-2ab+3a$

$=2a^{2}+2b^{2}+4ab+3a$

∴ Total Amount donated by them are $2a^{2}+2b^{2}+4ab+3a$.

Plug $a=100\ and\ b=150$ in above equation,

$=(2\times 100^{2})+(2\times 150^{2})+(4\times 100\times 150)+(3\times 100)$

$=20000+45000+60000+300$

$=125300$

So, Total Amount donated by them are $125300$.