Meera knows that for any two numbers, (sum)^2 = (square of one) + (square of other) + 2 x (their product). If the sum of two numbers is 12 and their product is 35, what is the sum of their squares?

Question

Accepted Answer

74. a + b = 12 so (a + b)^2 = 144. Then a^2 + b^2 = (a + b)^2 - 2ab = 144 - 2(35) = 144 - 70 = 74.

Meera knows that for any two numbers, $(s u m)^{2}$ = (square of one) + (square of other) + $2 \times$ (their product). If the sum of two numbers is 12 and their product is 35, what is the sum of their squares?

Step-by-Step Solution

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More Class 8 Standard Identities practice

Meera knows that for any two numbers, (sum)2 = (square of one) + (square of other) + 2× (their product). If the sum of two numbers is 12 and their product is 35, what is the sum of their squares?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Standard Identities practice

Meera knows that for any two numbers, $(s u m)^{2}$ = (square of one) + (square of other) + $2 \times$ (their product). If the sum of two numbers is 12 and their product is 35, what is the sum of their squares?