Lutasin ang 32a^2b^2+16ab^2+2b^2

$$32 a ^ { 2 } b ^ { 2 } + 16 a b ^ { 2 } + 2 b ^ { 2 }$$

I-factor

$$2b^{2}\left(4a+1\right)^{2}$$

Mga Hakbang ng Solution

I-factor out ang 2.

$$2\left(16a^{2}b^{2}+8ab^{2}+b^{2}\right)$$

Isaalang-alang ang 16a^{2}b^{2}+8ab^{2}+b^{2}. I-factor out ang b^{2}.

$$b^{2}\left(16a^{2}+8a+1\right)$$

Isaalang-alang ang 16a^{2}+8a+1. Gamitin ang perfect square formula na p^{2}+2pq+q^{2}=\left(p+q\right)^{2}, kung saan p=4a at q=1.

$$\left(4a+1\right)^{2}$$

I-rewrite ang kumpletong naka-factor na expression.

$$2b^{2}\left(4a+1\right)^{2}$$

I-evaluate

$$2\left(4ab+b\right)^{2}$$