Lutasin ang 2a^{3}b-7ab^{3}+6a^{2}b^{2}+5a^{4}+b^{4}-3a^{4}+2a^2b^2-ab^3+3b^4

$$2 a ^ { 3 } b - 7 a b ^ { 3 } + 6 a ^ { 2 } b ^ { 2 } + 5 a ^ { 4 } + b ^ { 4 } - 3 a ^ { 4 } + 2 a ^ { 2 } b ^ { 2 } - a b ^ { 3 } + 3 b ^ { 4 }$$

I-factor

$$2\left(a^{4}+4a^{2}b^{2}-4ab^{3}+2b^{4}+ba^{3}\right)$$

Mga Hakbang ng Solution

I-multiply at pagsamahin ang magkakatulad na term.

$$2a^{4}+8a^{2}b^{2}-8ab^{3}+4b^{4}+2ba^{3}$$

I-factor out ang 2.

$$2\left(a^{4}+4a^{2}b^{2}-4ab^{3}+2b^{4}+ba^{3}\right)$$

I-evaluate

$$2\left(a^{4}-4ab^{3}+2b^{4}+ba^{3}+4\left(ab\right)^{2}\right)$$