What is expand ,6x^2+17x+5(3x+a)(bx+c) ?

The solution to expand ,6x^2+17x+5(3x+a)(bx+c) is 6x^2+17x+15x^2b+15cx+5abx+5ac

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expand ,6x^2+17x+5(3x+a)(bx+c)

expand

6 x^{2} + 17 x + 5 (3 x + a) (b x + c)

6 x^{2} + 17 x + 15 x^{2} b + 15 c x + 5 ab x + 5 a c

Solution steps

6 x^{2} + 17 x + 5 (3 x + a) (b x + c)

Apply FOIL method

(3 x + a) (b x + c) : 3 x^{2} b + 3 c x + ab x + a c

= 6 x^{2} + 17 x + 5 (3 x^{2} b + 3 c x + ab x + a c)

Distribute parentheses

= 6 x^{2} + 17 x + 5 \cdot 3 x^{2} b + 5 \cdot 3 c x + 5 ab x + 5 a c

Simplify

5 \cdot 3 x^{2} b + 5 \cdot 3 c x + 5 ab x + 5 a c : 15 x^{2} b + 15 c x + 5 ab x + 5 a c

= 6 x^{2} + 17 x + 15 x^{2} b + 15 c x + 5 ab x + 5 a c

(1 + tan (a))^{2}

(1 - \frac{1}{5 x}) (1 - \frac{3}{5 x})

\frac{1 - cos ( 7 x )}{( sin ( 5 x ) ) ^{2}}

\frac{1}{2} (x - \frac{1}{2} sin (2 x)) cos (x)

What is expand ,6x^2+17x+5(3x+a)(bx+c) ?
The solution to expand ,6x^2+17x+5(3x+a)(bx+c) is 6x^2+17x+15x^2b+15cx+5abx+5ac