Issolvi 9(x-1)^2-4(2x+3)^2

$$9 ( x - 1 ) ^ { 2 } - 4 ( 2 x + 3 ) ^ { 2 }$$

Evalwa

$$-\left(x+9\right)\left(7x+3\right)$$

Passi tas-Soluzzjonijiet

Uża teorema binomjali \left(a-b\right)^{2}=a^{2}-2ab+b^{2} biex tespandi \left(x-1\right)^{2}.

$$9\left(x^{2}-2x+1\right)-4\left(2x+3\right)^{2}$$

Uża l-propjetà distributtiva biex timmultiplika 9 b'x^{2}-2x+1.

$$9x^{2}-18x+9-4\left(2x+3\right)^{2}$$

Uża teorema binomjali \left(a+b\right)^{2}=a^{2}+2ab+b^{2} biex tespandi \left(2x+3\right)^{2}.

$$9x^{2}-18x+9-4\left(4x^{2}+12x+9\right)$$

Uża l-propjetà distributtiva biex timmultiplika -4 b'4x^{2}+12x+9.

$$9x^{2}-18x+9-16x^{2}-48x-36$$

Ikkombina 9x^{2} u -16x^{2} biex tikseb -7x^{2}.

$$-7x^{2}-18x+9-48x-36$$

Ikkombina -18x u -48x biex tikseb -66x.

$$-7x^{2}-66x+9-36$$

Naqqas 36 minn 9 biex tikseb -27.

$$-7x^{2}-66x-27$$

Espandi

$$-7x^{2}-66x-27$$

Passi tas-Soluzzjonijiet

Uża teorema binomjali \left(a-b\right)^{2}=a^{2}-2ab+b^{2} biex tespandi \left(x-1\right)^{2}.

$$9\left(x^{2}-2x+1\right)-4\left(2x+3\right)^{2}$$

Uża l-propjetà distributtiva biex timmultiplika 9 b'x^{2}-2x+1.

$$9x^{2}-18x+9-4\left(2x+3\right)^{2}$$

Uża teorema binomjali \left(a+b\right)^{2}=a^{2}+2ab+b^{2} biex tespandi \left(2x+3\right)^{2}.

$$9x^{2}-18x+9-4\left(4x^{2}+12x+9\right)$$

Uża l-propjetà distributtiva biex timmultiplika -4 b'4x^{2}+12x+9.

$$9x^{2}-18x+9-16x^{2}-48x-36$$

Ikkombina 9x^{2} u -16x^{2} biex tikseb -7x^{2}.

$$-7x^{2}-18x+9-48x-36$$

Ikkombina -18x u -48x biex tikseb -66x.

$$-7x^{2}-66x+9-36$$

Naqqas 36 minn 9 biex tikseb -27.

$$-7x^{2}-66x-27$$