Prove that the value of the expression: (125^2+25^2) (5^2-1) is divisible by 39

Answer should be written ___*39

Question

Ada Mccoy

Mathematics

16 July, 20:39

Prove that the value of the expression: (125^2+25^2) (5^2-1) is divisible by 39

Answer should be written ___*39

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Answers (2)

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Bella Ramos · Answer 1

10000 * 39

Step-by-step explanation:

(125^2+25^2) (5^2-1)

Rewriting

(5^3^2+5^2^2) (5^2-1)

We know that a^b^c = a^ (b*c)

(5^ (3*2) + 5^ (2*2)) (5^2-1)

(5^6+5^4) (5^2-1)

Factor out 5^4

5^4 (5^2 + 1) (5^2-1)

5^4 (26) (24)

Factor

5^4 (13*2) (3*8)

Rearrange the order

5^4 (13*3) (2*8)

5^4 * 39 * 16

625 * 16 * 39

10000 * 39

Tristan Tanner · Answer 2

10000*39

Step-by-step explanation:

Simplify the equation fully.

(125 + 25) (5 - 1)

(15625 + 625) (25 - 1)

(16250) (24)

390000

Divide the answer by 39

390000/39 = 10000

Prove that the value of the expression: (125^2+25^2) (5^2-1) is divisible by 39Answer should be written ___*39

Prove that the value of the expression: (125^2+25^2) (5^2-1) is divisible by 39

Answer should be written ___*39