Issolvi 4(1+k)^2-8(1+k)+3

$$4 ( 1 + k ) ^ { 2 } - 8 ( 1 + k ) + 3$$

Evalwa

$$4k^{2}-1$$

Passi tas-Soluzzjonijiet

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

$$4\left(1+2k+k^{2}\right)-8\left(1+k\right)+3$$

Uża l-propjetà distributtiva biex timmultiplika 4 b'1+2k+k^{2}.

$$4+8k+4k^{2}-8\left(1+k\right)+3$$

Uża l-propjetà distributtiva biex timmultiplika -8 b'1+k.

$$4+8k+4k^{2}-8-8k+3$$

Naqqas 8 minn 4 biex tikseb -4.

$$-4+8k+4k^{2}-8k+3$$

Ikkombina 8k u -8k biex tikseb 0.

$$-4+4k^{2}+3$$

Żid -4 u 3 biex tikseb -1.

$$-1+4k^{2}$$

Espandi

$$4k^{2}-1$$

Passi tas-Soluzzjonijiet

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

$$4\left(1+2k+k^{2}\right)-8\left(1+k\right)+3$$

Uża l-propjetà distributtiva biex timmultiplika 4 b'1+2k+k^{2}.

$$4+8k+4k^{2}-8\left(1+k\right)+3$$

Uża l-propjetà distributtiva biex timmultiplika -8 b'1+k.

$$4+8k+4k^{2}-8-8k+3$$

Naqqas 8 minn 4 biex tikseb -4.

$$-4+8k+4k^{2}-8k+3$$

Ikkombina 8k u -8k biex tikseb 0.

$$-4+4k^{2}+3$$

Żid -4 u 3 biex tikseb -1.

$$-1+4k^{2}$$