Réitigh (2.5p-1.5q)^2-(1.5p-2.5q)^2

$$( 2.5 p - 1.5 q ) ^ { 2 } - ( 1.5 p - 2.5 q ) ^ { 2 }$$

Luacháil

$$4\left(p^{2}-q^{2}\right)$$

Céimeanna Réitigh

Úsáid an teoirim dhéthéarmach \left(a-b\right)^{2}=a^{2}-2ab+b^{2} chun \left(2.5p-1.5q\right)^{2} a leathnú.

$$6.25p^{2}-7.5pq+2.25q^{2}-\left(1.5p-2.5q\right)^{2}$$

Úsáid an teoirim dhéthéarmach \left(a-b\right)^{2}=a^{2}-2ab+b^{2} chun \left(1.5p-2.5q\right)^{2} a leathnú.

$$6.25p^{2}-7.5pq+2.25q^{2}-\left(2.25p^{2}-7.5pq+6.25q^{2}\right)$$

Chun an mhalairt ar 2.25p^{2}-7.5pq+6.25q^{2} a aimsiú, aimsigh an mhalairt ar gach téarma.

$$6.25p^{2}-7.5pq+2.25q^{2}-2.25p^{2}+7.5pq-6.25q^{2}$$

Comhcheangail 6.25p^{2} agus -2.25p^{2} chun 4p^{2} a fháil.

$$4p^{2}-7.5pq+2.25q^{2}+7.5pq-6.25q^{2}$$

Comhcheangail -7.5pq agus 7.5pq chun 0 a fháil.

$$4p^{2}+2.25q^{2}-6.25q^{2}$$

Comhcheangail 2.25q^{2} agus -6.25q^{2} chun -4q^{2} a fháil.

$$4p^{2}-4q^{2}$$

Fairsingigh

$$4p^{2}-4q^{2}$$

Céimeanna Réitigh

Úsáid an teoirim dhéthéarmach \left(a-b\right)^{2}=a^{2}-2ab+b^{2} chun \left(2.5p-1.5q\right)^{2} a leathnú.

$$6.25p^{2}-7.5pq+2.25q^{2}-\left(1.5p-2.5q\right)^{2}$$

Úsáid an teoirim dhéthéarmach \left(a-b\right)^{2}=a^{2}-2ab+b^{2} chun \left(1.5p-2.5q\right)^{2} a leathnú.

$$6.25p^{2}-7.5pq+2.25q^{2}-\left(2.25p^{2}-7.5pq+6.25q^{2}\right)$$

Chun an mhalairt ar 2.25p^{2}-7.5pq+6.25q^{2} a aimsiú, aimsigh an mhalairt ar gach téarma.

$$6.25p^{2}-7.5pq+2.25q^{2}-2.25p^{2}+7.5pq-6.25q^{2}$$

Comhcheangail 6.25p^{2} agus -2.25p^{2} chun 4p^{2} a fháil.

$$4p^{2}-7.5pq+2.25q^{2}+7.5pq-6.25q^{2}$$

Comhcheangail -7.5pq agus 7.5pq chun 0 a fháil.

$$4p^{2}+2.25q^{2}-6.25q^{2}$$

Comhcheangail 2.25q^{2} agus -6.25q^{2} chun -4q^{2} a fháil.

$$4p^{2}-4q^{2}$$