100y^2-4y^4 eching

$$100 y ^ { 2 } - 4 y ^ { 4 }$$

Omil

$$4\left(-y-5\right)\left(y-5\right)y^{2}$$

Yechim qadamlari

4 omili.

$$4\left(25y^{2}-y^{4}\right)$$

Hisoblang: 25y^{2}-y^{4}. y^{2} omili.

$$y^{2}\left(25-y^{2}\right)$$

Hisoblang: 25-y^{2}. 25-y^{2} ni 5^{2}-y^{2} sifatida qaytadan yozish. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(5-y\right)\left(5+y\right)$$

Shartlarni qayta saralash.

$$\left(-y+5\right)\left(y+5\right)$$

Toʻliq ajratilgan ifodani qaytadan yozing.

$$4y^{2}\left(-y+5\right)\left(y+5\right)$$

Baholash

$$100y^{2}-4y^{4}$$