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Problem 358

Find A) \(4 a^{2} b+2 a b\) B) \(9 a b^{2} c-6 a^{2} c+12 a c\) C) \(\mathrm{ac}+\mathrm{bc}+\mathrm{ad}+\mathrm{bd}\)

Expert verified

The simplified expressions are:
A) \(2ab(2a+1)\)
B) \(3ac(3b^2-2a+4)\)
C) \((a+b)(c+d)\)

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Chapter 15

Factor \(\mathrm{x}^{3}-8\)

Chapter 15

Combine \(\left(3 x+y / x^{2}-y^{2}\right)-\\{2 y / x(x-y)\\}-\\{1 / x+y\\}\) into a single fraction .

Chapter 15

Factor the following polynomials : (a) \(15 \mathrm{ac}+6 \mathrm{bc}-10 \mathrm{ad}-4 \mathrm{bd}\) (b) \(3 a^{2} c+3 a^{2} d^{2}+2 b^{2} c+2 b^{2} d^{2}\)

Chapter 15

Factor: (a) \(4 a^{4}-b^{6}\) (b) \(a^{2}-b^{2}+2 b c-c^{2}\)

Chapter 15

Divide \(\mathrm{y}^{2}+\mathrm{y}-20 / \mathrm{y}-3\) by $\mathrm{y}^{2}-16 / \mathrm{y}^{2}+\mathrm{y}-12$.

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