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goldenfox [79]
3 years ago
7

Which factor do 64x^2 + 48x + 9 and 64x^2 - 9 have in common?

Mathematics
1 answer:
Ber [7]3 years ago
8 0
Start with the second expression.  That factors easily into (8x-3)(8x+3).
Since 64x^2 + 48x + 9 has no negative signs, I'd bet that the common factor is (8x+3).  Divide  <span>64x^2 + 48x + 9  by that to verify.

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Step-by-step explanation:

We are asked to simply (2√5 + 3√2)². Using formula: (a + b)² = a² + b² + 2ab. Let's say 2√5 = a, 3√2 = b. So,

→ (a + b)² = a² + b² + 2ab

→ (2√5 + 3√2)² = (2√5)² + (3√2)² + 2(2√5)(3√2)

We are aware about the fact that root means 1/2 and square of root means 2/2 that is 1. Using this we get:

→ (2√5 + 3√2)² = 4(5) + 9(2) + 2(2√5)(3√2)

Solve the brackets, to do so first put the like terms in one box.

→ (2√5 + 3√2)² = 4(5) + 9(2) + 2(2*3)(√5)(√2)

Solve the rest calculations.

→ (2√5 + 3√2)² = 20 + 18 + 2(6)(√10)

→ (2√5 + 3√2)² = 38 + 12√10

Option (a) (38 + 12√10) is the correct option.

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