a^{2}m^{2}-b^{2}m^{2}-a^2n^2+b^2n^2= eching

$$a ^ { 2 } m ^ { 2 } - b ^ { 2 } m ^ { 2 } - a ^ { 2 } n ^ { 2 } + b ^ { 2 } n ^ { 2 } =$$

Omil

$$\left(a-b\right)\left(m-n\right)\left(a+b\right)\left(m+n\right)$$

Yechim qadamlari

a^{2}m^{2}-b^{2}m^{2}-a^{2}n^{2}+b^{2}n^{2}=\left(a^{2}m^{2}-b^{2}m^{2}\right)+\left(-a^{2}n^{2}+b^{2}n^{2}\right) misolini guruhlang hamda m^{2} ni birinchi va -n^{2} ni ikkinchi guruhdan ajrating.

$$m^{2}\left(a^{2}-b^{2}\right)-n^{2}\left(a^{2}-b^{2}\right)$$

Distributiv funktsiyasidan foydalangan holda a^{2}-b^{2} umumiy terminini chiqaring.

$$\left(a^{2}-b^{2}\right)\left(m^{2}-n^{2}\right)$$

Hisoblang: a^{2}-b^{2}. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: p^{2}-q^{2}=\left(p-q\right)\left(p+q\right).

$$\left(a-b\right)\left(a+b\right)$$

Hisoblang: m^{2}-n^{2}. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: p^{2}-q^{2}=\left(p-q\right)\left(p+q\right).

$$\left(m-n\right)\left(m+n\right)$$

Toʻliq ajratilgan ifodani qaytadan yozing.

$$\left(a-b\right)\left(a+b\right)\left(m-n\right)\left(m+n\right)$$

Baholash

$$\left(a^{2}-b^{2}\right)\left(m^{2}-n^{2}\right)$$