Question

If a+b=5 and a-b=2 then value of a^2-b^2 is

Answer 1

Answer:

(a+b)(a-b)=5*2

a^2-b^2=10

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Answer 2

Step-by-step explanation:

(a+b)(a-b) = a^2 - b^2

a + b = 5

a - b = 2

5 × 2 = 10

a^2 - b^2 = 10

a + b = 5

a - b = 2

adding

2a = 7

a = 7/2

a + b = 5

7/2 + b = 5

b = 5 - 7/2

b = (10 - 7)/2

b = 3/2

${a}^{2} = { (\frac{7}{2} )}^{2} = \frac{49}{4} \\ {b}^{2} = {( \frac{3}{2}) }^{2} = \frac{9}{4} \\ {a}^{2} - {b}^{2} = \frac{49}{4} - \frac{9}{4} = \frac{49 - 9}{4} = \frac{40}{4} = 10$

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