3 years ago

2 Which expression is equivalent to 7a^3(6a^2+a)^2-4a^6?

Mathematics

1 answer:

astraxan [27]3 years ago

4 0

Answer:

Step-by-step explanation:

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3 years ago

One integer is 7 more than another. Their product is 98. Find the integers,

ipn [44]

Answer:

- 14, - 7 or 7, 14

Step-by-step explanation:

Let the the two integers be x and (x + 7)

$\therefore \: x(x + 7) = 98 \\ {x}^{2} + 7x - 98 = 0 \\ {x}^{2} + 14x - 7x - 98 = 0 \\ x(x + 14) - 7(x + 14) = 0 \\ (x + 14)(x - 7) = 0 \\ (x + 14) = 0 \: or \: (x - 7) = 0 \\ x = - 14 \: or \: x = 7 \\ \\ when \: x = - 14 \\ x + 7 = - 14 + 7 = - 7 \\ \\ when \: x = 7 \\ x + 7 = 7 + 7 = 14 \\$

Hence the required integers are - 14, - 7 or 7, 14

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4 years ago