Question

If a + b = 1 and a – b = 7; find : (i) a² + b² (ii) ab​

Answer 1

Answer:

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

=1^2-2ab

or

(a-b)+2ab=7^2-2ab= 49-2ab

Answer 2

Step-by-step explanation:

I) a²-b²

we know

a²-b²=(a+b)(a-b)

1*7=7

So a²-b²=7

II) ab

(a+b)²=a²+b²+2ab

(1)²=7+2ab

1=7+2ab

2ab= -6

ab= -3

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