Lahenda [(3y-5y)^{2}*(2x^2y^3)]:(1/2xy^2)^2-[20y-(-8y)]

$$[ ( 3 y - 5 y ) ^ { 2 } * ( 2 x ^ { 2 } y ^ { 3 } ) ] : ( \frac { 1 } { 2 } x y ^ { 2 } ) ^ { 2 } - [ 20 y - ( - 8 y ) ]$$

Arvuta

$$4y$$

Lahenduse etapid

Kombineerige 3y ja -5y, et leida -2y.

$$\frac{\left(-2y\right)^{2}\times 2x^{2}y^{3}}{\left(\frac{1}{2}xy^{2}\right)^{2}}-\left(20y-\left(-8y\right)\right)$$

Laiendage \left(-2y\right)^{2}.

$$\frac{\left(-2\right)^{2}y^{2}\times 2x^{2}y^{3}}{\left(\frac{1}{2}xy^{2}\right)^{2}}-\left(20y-\left(-8y\right)\right)$$

Arvutage 2 aste -2 ja leidke 4.

$$\frac{4y^{2}\times 2x^{2}y^{3}}{\left(\frac{1}{2}xy^{2}\right)^{2}}-\left(20y-\left(-8y\right)\right)$$

Korrutage 4 ja 2, et leida 8.

$$\frac{8y^{2}x^{2}y^{3}}{\left(\frac{1}{2}xy^{2}\right)^{2}}-\left(20y-\left(-8y\right)\right)$$

Sama alusega astmete korrutamiseks liitke astendajad. Liitke 2 ja 3, et saada 5.

$$\frac{8y^{5}x^{2}}{\left(\frac{1}{2}xy^{2}\right)^{2}}-\left(20y-\left(-8y\right)\right)$$

Laiendage \left(\frac{1}{2}xy^{2}\right)^{2}.

$$\frac{8y^{5}x^{2}}{\left(\frac{1}{2}\right)^{2}x^{2}\left(y^{2}\right)^{2}}-\left(20y-\left(-8y\right)\right)$$

Astme tõstmiseks mõnda teise astmesse korrutage astendajad. Korrutage 2 ja 2, et saada 4.

$$\frac{8y^{5}x^{2}}{\left(\frac{1}{2}\right)^{2}x^{2}y^{4}}-\left(20y-\left(-8y\right)\right)$$

Arvutage 2 aste \frac{1}{2} ja leidke \frac{1}{4}.

$$\frac{8y^{5}x^{2}}{\frac{1}{4}x^{2}y^{4}}-\left(20y-\left(-8y\right)\right)$$

Taandage x^{2}y^{4} nii lugejas kui ka nimetajas.

$$\frac{8y}{\frac{1}{4}}-\left(20y-\left(-8y\right)\right)$$

Jagage 8y väärtusega \frac{1}{4}, korrutades 8y väärtuse \frac{1}{4} pöördväärtusega.

$$8y\times 4-\left(20y-\left(-8y\right)\right)$$

Arvu -8y vastand on 8y.

$$8y\times 4-\left(20y+8y\right)$$

Kombineerige 20y ja 8y, et leida 28y.

$$8y\times 4-28y$$

Korrutage 8 ja 4, et leida 32.

$$32y-28y$$

Kombineerige 32y ja -28y, et leida 4y.

$$4y$$

Laienda

$$4y$$

Lahenduse etapid

Kombineerige 3y ja -5y, et leida -2y.

$$\frac{\left(-2y\right)^{2}\times 2x^{2}y^{3}}{\left(\frac{1}{2}xy^{2}\right)^{2}}-\left(20y-\left(-8y\right)\right)$$

Laiendage \left(-2y\right)^{2}.

$$\frac{\left(-2\right)^{2}y^{2}\times 2x^{2}y^{3}}{\left(\frac{1}{2}xy^{2}\right)^{2}}-\left(20y-\left(-8y\right)\right)$$

Arvutage 2 aste -2 ja leidke 4.

$$\frac{4y^{2}\times 2x^{2}y^{3}}{\left(\frac{1}{2}xy^{2}\right)^{2}}-\left(20y-\left(-8y\right)\right)$$

Korrutage 4 ja 2, et leida 8.

$$\frac{8y^{2}x^{2}y^{3}}{\left(\frac{1}{2}xy^{2}\right)^{2}}-\left(20y-\left(-8y\right)\right)$$

Sama alusega astmete korrutamiseks liitke astendajad. Liitke 2 ja 3, et saada 5.

$$\frac{8y^{5}x^{2}}{\left(\frac{1}{2}xy^{2}\right)^{2}}-\left(20y-\left(-8y\right)\right)$$

Laiendage \left(\frac{1}{2}xy^{2}\right)^{2}.

$$\frac{8y^{5}x^{2}}{\left(\frac{1}{2}\right)^{2}x^{2}\left(y^{2}\right)^{2}}-\left(20y-\left(-8y\right)\right)$$

Astme tõstmiseks mõnda teise astmesse korrutage astendajad. Korrutage 2 ja 2, et saada 4.

$$\frac{8y^{5}x^{2}}{\left(\frac{1}{2}\right)^{2}x^{2}y^{4}}-\left(20y-\left(-8y\right)\right)$$

Arvutage 2 aste \frac{1}{2} ja leidke \frac{1}{4}.

$$\frac{8y^{5}x^{2}}{\frac{1}{4}x^{2}y^{4}}-\left(20y-\left(-8y\right)\right)$$

Taandage x^{2}y^{4} nii lugejas kui ka nimetajas.

$$\frac{8y}{\frac{1}{4}}-\left(20y-\left(-8y\right)\right)$$

Jagage 8y väärtusega \frac{1}{4}, korrutades 8y väärtuse \frac{1}{4} pöördväärtusega.

$$8y\times 4-\left(20y-\left(-8y\right)\right)$$

Arvu -8y vastand on 8y.

$$8y\times 4-\left(20y+8y\right)$$

Kombineerige 20y ja 8y, et leida 28y.

$$8y\times 4-28y$$

Korrutage 8 ja 4, et leida 32.

$$32y-28y$$

Kombineerige 32y ja -28y, et leida 4y.

$$4y$$