left(5x-2right)^2-left(3x+1right)^2-x^2-60 eching

$${ \left(5x-2 \right) }^{ 2 } - { \left(3x+1 \right) }^{ 2 } - { x }^{ 2 } -60$$

Baholash

$$\left(x-3\right)\left(15x+19\right)$$

Yechim qadamlari

\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(5x-2\right)^{2} kengaytirilishi uchun ishlating.

$$25x^{2}-20x+4-\left(3x+1\right)^{2}-x^{2}-60$$

\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(3x+1\right)^{2} kengaytirilishi uchun ishlating.

$$25x^{2}-20x+4-\left(9x^{2}+6x+1\right)-x^{2}-60$$

9x^{2}+6x+1 teskarisini topish uchun har birining teskarisini toping.

$$25x^{2}-20x+4-9x^{2}-6x-1-x^{2}-60$$

16x^{2} ni olish uchun 25x^{2} va -9x^{2} ni birlashtirish.

$$16x^{2}-20x+4-6x-1-x^{2}-60$$

-26x ni olish uchun -20x va -6x ni birlashtirish.

$$16x^{2}-26x+4-1-x^{2}-60$$

3 olish uchun 4 dan 1 ni ayirish.

$$16x^{2}-26x+3-x^{2}-60$$

15x^{2} ni olish uchun 16x^{2} va -x^{2} ni birlashtirish.

$$15x^{2}-26x+3-60$$

-57 olish uchun 3 dan 60 ni ayirish.

$$15x^{2}-26x-57$$

Kengaytirish

$$15x^{2}-26x-57$$

Yechim qadamlari

\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(5x-2\right)^{2} kengaytirilishi uchun ishlating.

$$25x^{2}-20x+4-\left(3x+1\right)^{2}-x^{2}-60$$

\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(3x+1\right)^{2} kengaytirilishi uchun ishlating.

$$25x^{2}-20x+4-\left(9x^{2}+6x+1\right)-x^{2}-60$$

9x^{2}+6x+1 teskarisini topish uchun har birining teskarisini toping.

$$25x^{2}-20x+4-9x^{2}-6x-1-x^{2}-60$$

16x^{2} ni olish uchun 25x^{2} va -9x^{2} ni birlashtirish.

$$16x^{2}-20x+4-6x-1-x^{2}-60$$

-26x ni olish uchun -20x va -6x ni birlashtirish.

$$16x^{2}-26x+4-1-x^{2}-60$$

3 olish uchun 4 dan 1 ni ayirish.

$$16x^{2}-26x+3-x^{2}-60$$

15x^{2} ni olish uchun 16x^{2} va -x^{2} ni birlashtirish.

$$15x^{2}-26x+3-60$$

-57 olish uchun 3 dan 60 ni ayirish.

$$15x^{2}-26x-57$$