Whakaoti i te (2a-5b)(2a+5b)+(6b-3a)(6b+3a)

$$( 2 a - 5 b ) ( 2 a + 5 b ) + ( 6 b - 3 a ) ( 6 b + 3 a )$$

Aromātai

$$11b^{2}-5a^{2}$$

Ngā Upane Otinga

Whakaarohia te \left(2a-5b\right)\left(2a+5b\right). Ka taea te whakareanga te panoni ki te rerekētanga o ngā pūrua mā te ture: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\left(2a\right)^{2}-\left(5b\right)^{2}+\left(6b-3a\right)\left(6b+3a\right)$$

Whakarohaina te \left(2a\right)^{2}.

$$2^{2}a^{2}-\left(5b\right)^{2}+\left(6b-3a\right)\left(6b+3a\right)$$

Tātaihia te 2 mā te pū o 2, kia riro ko 4.

$$4a^{2}-\left(5b\right)^{2}+\left(6b-3a\right)\left(6b+3a\right)$$

Whakarohaina te \left(5b\right)^{2}.

$$4a^{2}-5^{2}b^{2}+\left(6b-3a\right)\left(6b+3a\right)$$

Tātaihia te 5 mā te pū o 2, kia riro ko 25.

$$4a^{2}-25b^{2}+\left(6b-3a\right)\left(6b+3a\right)$$

Whakaarohia te \left(6b-3a\right)\left(6b+3a\right). Ka taea te whakareanga te panoni ki te rerekētanga o ngā pūrua mā te ture: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$4a^{2}-25b^{2}+\left(6b\right)^{2}-\left(3a\right)^{2}$$

Whakarohaina te \left(6b\right)^{2}.

$$4a^{2}-25b^{2}+6^{2}b^{2}-\left(3a\right)^{2}$$

Tātaihia te 6 mā te pū o 2, kia riro ko 36.

$$4a^{2}-25b^{2}+36b^{2}-\left(3a\right)^{2}$$

Whakarohaina te \left(3a\right)^{2}.

$$4a^{2}-25b^{2}+36b^{2}-3^{2}a^{2}$$

Tātaihia te 3 mā te pū o 2, kia riro ko 9.

$$4a^{2}-25b^{2}+36b^{2}-9a^{2}$$

Pahekotia te -25b^{2} me 36b^{2}, ka 11b^{2}.

$$4a^{2}+11b^{2}-9a^{2}$$

Pahekotia te 4a^{2} me -9a^{2}, ka -5a^{2}.

$$-5a^{2}+11b^{2}$$

Whakaroha

$$11b^{2}-5a^{2}$$

Ngā Upane Otinga

Whakaarohia te \left(2a-5b\right)\left(2a+5b\right). Ka taea te whakareanga te panoni ki te rerekētanga o ngā pūrua mā te ture: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\left(2a\right)^{2}-\left(5b\right)^{2}+\left(6b-3a\right)\left(6b+3a\right)$$

Whakarohaina te \left(2a\right)^{2}.

$$2^{2}a^{2}-\left(5b\right)^{2}+\left(6b-3a\right)\left(6b+3a\right)$$

Tātaihia te 2 mā te pū o 2, kia riro ko 4.

$$4a^{2}-\left(5b\right)^{2}+\left(6b-3a\right)\left(6b+3a\right)$$

Whakarohaina te \left(5b\right)^{2}.

$$4a^{2}-5^{2}b^{2}+\left(6b-3a\right)\left(6b+3a\right)$$

Tātaihia te 5 mā te pū o 2, kia riro ko 25.

$$4a^{2}-25b^{2}+\left(6b-3a\right)\left(6b+3a\right)$$

Whakaarohia te \left(6b-3a\right)\left(6b+3a\right). Ka taea te whakareanga te panoni ki te rerekētanga o ngā pūrua mā te ture: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$4a^{2}-25b^{2}+\left(6b\right)^{2}-\left(3a\right)^{2}$$

Whakarohaina te \left(6b\right)^{2}.

$$4a^{2}-25b^{2}+6^{2}b^{2}-\left(3a\right)^{2}$$

Tātaihia te 6 mā te pū o 2, kia riro ko 36.

$$4a^{2}-25b^{2}+36b^{2}-\left(3a\right)^{2}$$

Whakarohaina te \left(3a\right)^{2}.

$$4a^{2}-25b^{2}+36b^{2}-3^{2}a^{2}$$

Tātaihia te 3 mā te pū o 2, kia riro ko 9.

$$4a^{2}-25b^{2}+36b^{2}-9a^{2}$$

Pahekotia te -25b^{2} me 36b^{2}, ka 11b^{2}.

$$4a^{2}+11b^{2}-9a^{2}$$

Pahekotia te 4a^{2} me -9a^{2}, ka -5a^{2}.

$$-5a^{2}+11b^{2}$$