Lutasin ang 32r^3-500t^3

$$32 r ^ { 3 } - 500 t ^ { 3 }$$

I-factor

$$4\left(2r-5t\right)\left(4r^{2}+10rt+25t^{2}\right)$$

Mga Hakbang ng Solution

I-factor out ang 4.

$$4\left(8r^{3}-125t^{3}\right)$$

Isaalang-alang ang 8r^{3}-125t^{3}. I-rewrite ang 8r^{3}-125t^{3} bilang \left(2r\right)^{3}-\left(5t\right)^{3}. Maaaring i-factor ang difference ng mga cube gamit ang panuntunang: a^{3}-b^{3}=\left(a-b\right)\left(a^{2}+ab+b^{2}\right).

$$\left(2r-5t\right)\left(4r^{2}+10rt+25t^{2}\right)$$

I-rewrite ang kumpletong naka-factor na expression.

$$4\left(2r-5t\right)\left(4r^{2}+10rt+25t^{2}\right)$$

I-evaluate

$$32r^{3}-500t^{3}$$