8x^4-200x^2y^4 eching

$$8 x ^ { 4 } - 200 x ^ { 2 } y ^ { 4 }$$

Omil

$$8x^{2}\left(x-5y^{2}\right)\left(x+5y^{2}\right)$$

Yechim qadamlari

8 omili.

$$8\left(x^{4}-25x^{2}y^{4}\right)$$

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

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

Hisoblang: x^{2}-25y^{4}. x^{2}-25y^{4} ni x^{2}-\left(5y^{2}\right)^{2} sifatida qaytadan yozish. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

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

Toʻliq ajratilgan ifodani qaytadan yozing.

$$8x^{2}\left(x-5y^{2}\right)\left(x+5y^{2}\right)$$

Baholash

$$8x^{2}\left(x^{2}-25y^{4}\right)$$