What is factor 6(x-5)^3(7x+3)^4+(x-5)^4(7x+3)^3 ?

The solution to factor 6(x-5)^3(7x+3)^4+(x-5)^4(7x+3)^3 is (x-5)^3(7x+3)^3(43x+13)

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factor 6(x-5)^3(7x+3)^4+(x-5)^4(7x+3)^3

factor

6 (x - 5)^{3} (7 x + 3)^{4} + (x - 5)^{4} (7 x + 3)^{3}

(x - 5)^{3} (7 x + 3)^{3} (43 x + 13)

Solution steps

6 (x - 5)^{3} (7 x + 3)^{4} + (x - 5)^{4} (7 x + 3)^{3}

Factor out common term

(x - 5)^{3} (7 x + 3)^{3} : (x - 5)^{3} (7 x + 3)^{3} (6 (7 x + 3) + x - 5)

= (x - 5)^{3} (7 x + 3)^{3} (6 (7 x + 3) + x - 5)

Expand

6 (7 x + 3) + x - 5 : 43 x + 13

= (x - 5)^{3} (7 x + 3)^{3} (43 x + 13)

3 (x + 5)^{2} = 21

\frac{x + 12}{x + 2} \geq 3

4 y^{2} - 16 (- 4)^{2} = 64

3. 2^{1.5}

- 2 + \frac{1}{2}

What is factor 6(x-5)^3(7x+3)^4+(x-5)^4(7x+3)^3 ?
The solution to factor 6(x-5)^3(7x+3)^4+(x-5)^4(7x+3)^3 is (x-5)^3(7x+3)^3(43x+13)