Question

1. Factoring a sum or difference of two cubes.

Factor: 125 - 8u3


2. Solving a linear equation with several occurrences of the variable, solve for w. Simplify your answer as much as possible.

(7w + 6)/6 + (9w +8)/2 = 22

Answer 1

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Solution..

64 + u3.

= 43 + u3.

= (4 + u)(42 – 4.u + u2).

= (4 + u)(16 – 4u + u2).

✔️✔️✔️✔️Answer - (4 + u)(16 – 4u + u2)

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Solution....


(7w + 6)/6 + (9w +8)/2 = 22

or, [7w + 6 + 3(9w + 8)]/6 = 22

or, 7w + 6 + 27w + 24 = 132

or, 34w + 30 = 132

or, 34w = 132 - 30

or, 34w = 102

or, w = 102/34

Therefore, w = 3

✔️✔️✔️✔️Answer - w = 3

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Answer 2

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