Issolvi {l}{(4x+7y)^2wh}{(x-9y)^2}{(x+4y)(x-2)}{25^2-9^2}

$$\left. \begin{array} { l } { ( 4 x + 7 y ) ^ { 2 } w h } \\ { ( x - 9 y ) ^ { 2 } } \\ { ( x + 4 y ) ( x - 2 ) } \\ { 25 ^ { 2 } - 9 ^ { 2 } } \end{array} \right.$$

L-Inqas Multiplu Komuni

$$544hw\left(16x^{6}-32x^{5}+18585x^{2}y^{4}-10004x^{2}y^{3}+15876xy^{5}-37170xy^{4}-31752y^{5}-591y^{2}x^{4}+1182y^{2}x^{3}-168yx^{5}+336yx^{4}+5002\left(xy\right)^{3}\right)$$

Passi tas-Soluzzjonijiet

Iffattura l-espressjonijiet li mhumiex diġà fatturati.

$$544=2^{5}\times 17$$

Identifika l-fatturi kolla u l-ogħla potenza tagħhom fl-espressjonijiet kollha. Immultiplika l-ogħla potenzi ta' dawn il-fatturi biex tikseb il-multiplu l-inqas komuni.

$$544hw\left(16x^{6}-32x^{5}+5002x^{3}y^{3}+18585x^{2}y^{4}-10004x^{2}y^{3}+15876xy^{5}-37170xy^{4}-31752y^{5}-591y^{2}x^{4}+1182y^{2}x^{3}-168yx^{5}+336yx^{4}\right)$$

Espandi l-espressjoni.

$$8704hwx^{6}-17408hwx^{5}+2721088hwx^{3}y^{3}[phone]hwx^{2}y^{4}-5442176hwx^{2}y^{3}+8636544hwxy^{5}-20220480hwxy^{4}-17273088hwy^{5}-321504hwy^{2}x^{4}+643008hwy^{2}x^{3}-91392hwyx^{5}+182784hwyx^{4}$$

Evalwa

$$hw\left(4x+7y\right)^{2},\ \left(x-9y\right)^{2},\ \left(x-2\right)\left(x+4y\right),\ 544$$