Réitigh (25p-15q)^2-(15p-25q)^2

$$( 25 p - 15 q ) ^ { 2 } - ( 15 p - 25 q ) ^ { 2 }$$

Luacháil

$$400\left(p^{2}-q^{2}\right)$$

Céimeanna Réitigh

Úsáid an teoirim dhéthéarmach \left(a-b\right)^{2}=a^{2}-2ab+b^{2} chun \left(25p-15q\right)^{2} a leathnú.

$$625p^{2}-750pq+225q^{2}-\left(15p-25q\right)^{2}$$

Úsáid an teoirim dhéthéarmach \left(a-b\right)^{2}=a^{2}-2ab+b^{2} chun \left(15p-25q\right)^{2} a leathnú.

$$625p^{2}-750pq+225q^{2}-\left(225p^{2}-750pq+625q^{2}\right)$$

Chun an mhalairt ar 225p^{2}-750pq+625q^{2} a aimsiú, aimsigh an mhalairt ar gach téarma.

$$625p^{2}-750pq+225q^{2}-225p^{2}+750pq-625q^{2}$$

Comhcheangail 625p^{2} agus -225p^{2} chun 400p^{2} a fháil.

$$400p^{2}-750pq+225q^{2}+750pq-625q^{2}$$

Comhcheangail -750pq agus 750pq chun 0 a fháil.

$$400p^{2}+225q^{2}-625q^{2}$$

Comhcheangail 225q^{2} agus -625q^{2} chun -400q^{2} a fháil.

$$400p^{2}-400q^{2}$$

Fairsingigh

$$400p^{2}-400q^{2}$$

Céimeanna Réitigh

Úsáid an teoirim dhéthéarmach \left(a-b\right)^{2}=a^{2}-2ab+b^{2} chun \left(25p-15q\right)^{2} a leathnú.

$$625p^{2}-750pq+225q^{2}-\left(15p-25q\right)^{2}$$

Úsáid an teoirim dhéthéarmach \left(a-b\right)^{2}=a^{2}-2ab+b^{2} chun \left(15p-25q\right)^{2} a leathnú.

$$625p^{2}-750pq+225q^{2}-\left(225p^{2}-750pq+625q^{2}\right)$$

Chun an mhalairt ar 225p^{2}-750pq+625q^{2} a aimsiú, aimsigh an mhalairt ar gach téarma.

$$625p^{2}-750pq+225q^{2}-225p^{2}+750pq-625q^{2}$$

Comhcheangail 625p^{2} agus -225p^{2} chun 400p^{2} a fháil.

$$400p^{2}-750pq+225q^{2}+750pq-625q^{2}$$

Comhcheangail -750pq agus 750pq chun 0 a fháil.

$$400p^{2}+225q^{2}-625q^{2}$$

Comhcheangail 225q^{2} agus -625q^{2} chun -400q^{2} a fháil.

$$400p^{2}-400q^{2}$$