Math, asked by santoshtrading7, 1 year ago

factorize x^3+39x+70

Answers

Answered by morgan3666
46
x³+39x+70

x³+ (25+14)x + 70

x³+25x + 14x +70

x³+ 5x²+14x + 70

x²(x+5)+14(x + 5)

(x+5)(x²+14)

HOPE ITS HELP YOU

deepshirude1: morgan can you explain me how you have solve it
deepshirude1: in the 3rd and 4th step how 25x changes into 5x^2
deepshirude1: no it not correct
deepshirude1: because (5x)^2 =25x^2
deepshirude1: please correct your mistake
Answered by chandresh126
28

Answer:

Factorize of  x³ - 39x + 70 is => (x - 2) (x - 5) (x + 7) .

Step-by-step explanation:

Hey Mate,

Factorize of  x³ + 39x + 70 is


=> x³ − 2x² + 2x² + 4x + 35x + 70

=> x² (x − 2) + 2x (x + 2) +35 (x + 2)

Error in Equation


Correct Equation is => x³ - 39x + 70

Now,

=> x³ − 2x² + 2x² - 4x - 35x + 70

=> x² (x − 2)  -2x (x - 2) -35 (x - 2)

=> (x − 2) (x² + 2x - 35)

=> (x − 2) (x² + 7x - 5x - 35)

=> (x - 2) {x (x + 7) - 5 (x + 7)}

=> (x - 2) (x - 5) (x + 7) .


Factorize of  x³ - 39x + 70 is => (x - 2) (x - 5) (x + 7) .

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