Datrys 3(2x+5)^2-4(2x+5)(2x-5)+10(2x-5)^2=

$$3 ( 2 x + 5 ) ^ { 2 } - 4 ( 2 x + 5 ) ( 2 x - 5 ) + 10 ( 2 x - 5 ) ^ { 2 } =$$

Enrhifo

$$36x^{2}-140x+425$$

Camau Ateb

Defnyddio'r theorem binomaidd \left(a+b\right)^{2}=a^{2}+2ab+b^{2} i ehangu'r \left(2x+5\right)^{2}.

$$3\left(4x^{2}+20x+25\right)-4\left(2x+5\right)\left(2x-5\right)+10\left(2x-5\right)^{2}$$

Defnyddio’r briodwedd ddosbarthu i luosi 3 â 4x^{2}+20x+25.

$$12x^{2}+60x+75-4\left(2x+5\right)\left(2x-5\right)+10\left(2x-5\right)^{2}$$

Defnyddio'r theorem binomaidd \left(a-b\right)^{2}=a^{2}-2ab+b^{2} i ehangu'r \left(2x-5\right)^{2}.

$$12x^{2}+60x+75-4\left(2x+5\right)\left(2x-5\right)+10\left(4x^{2}-20x+25\right)$$

Defnyddio’r briodwedd ddosbarthu i luosi 10 â 4x^{2}-20x+25.

$$12x^{2}+60x+75-4\left(2x+5\right)\left(2x-5\right)+40x^{2}-200x+250$$

Defnyddio’r briodwedd ddosbarthu i luosi -4 â 2x+5.

$$12x^{2}+60x+75+\left(-8x-20\right)\left(2x-5\right)+40x^{2}-200x+250$$

Defnyddio’r briodwedd ddosbarthu i luosi -8x-20 â 2x-5 a chyfuno termau tebyg.

$$12x^{2}+60x+75-16x^{2}+100+40x^{2}-200x+250$$

Cyfuno 12x^{2} a -16x^{2} i gael -4x^{2}.

$$-4x^{2}+60x+75+100+40x^{2}-200x+250$$

Adio 75 a 100 i gael 175.

$$-4x^{2}+60x+175+40x^{2}-200x+250$$

Cyfuno -4x^{2} a 40x^{2} i gael 36x^{2}.

$$36x^{2}+60x+175-200x+250$$

Cyfuno 60x a -200x i gael -140x.

$$36x^{2}-140x+175+250$$

Adio 175 a 250 i gael 425.

$$36x^{2}-140x+425$$

Ehangu

$$36x^{2}-140x+425$$

Camau Ateb

Defnyddio'r theorem binomaidd \left(a+b\right)^{2}=a^{2}+2ab+b^{2} i ehangu'r \left(2x+5\right)^{2}.

$$3\left(4x^{2}+20x+25\right)-4\left(2x+5\right)\left(2x-5\right)+10\left(2x-5\right)^{2}$$

Defnyddio’r briodwedd ddosbarthu i luosi 3 â 4x^{2}+20x+25.

$$12x^{2}+60x+75-4\left(2x+5\right)\left(2x-5\right)+10\left(2x-5\right)^{2}$$

Defnyddio'r theorem binomaidd \left(a-b\right)^{2}=a^{2}-2ab+b^{2} i ehangu'r \left(2x-5\right)^{2}.

$$12x^{2}+60x+75-4\left(2x+5\right)\left(2x-5\right)+10\left(4x^{2}-20x+25\right)$$

Defnyddio’r briodwedd ddosbarthu i luosi 10 â 4x^{2}-20x+25.

$$12x^{2}+60x+75-4\left(2x+5\right)\left(2x-5\right)+40x^{2}-200x+250$$

Defnyddio’r briodwedd ddosbarthu i luosi -4 â 2x+5.

$$12x^{2}+60x+75+\left(-8x-20\right)\left(2x-5\right)+40x^{2}-200x+250$$

Defnyddio’r briodwedd ddosbarthu i luosi -8x-20 â 2x-5 a chyfuno termau tebyg.

$$12x^{2}+60x+75-16x^{2}+100+40x^{2}-200x+250$$

Cyfuno 12x^{2} a -16x^{2} i gael -4x^{2}.

$$-4x^{2}+60x+75+100+40x^{2}-200x+250$$

Adio 75 a 100 i gael 175.

$$-4x^{2}+60x+175+40x^{2}-200x+250$$

Cyfuno -4x^{2} a 40x^{2} i gael 36x^{2}.

$$36x^{2}+60x+175-200x+250$$

Cyfuno 60x a -200x i gael -140x.

$$36x^{2}-140x+175+250$$

Adio 175 a 250 i gael 425.

$$36x^{2}-140x+425$$