Datrys 36(x-1/4)^2-64(x-5/4)^2

$$36 ( x - \frac { 1 } { 4 } ) ^ { 2 } - 64 ( x - \frac { 5 } { 4 } ) ^ { 2 }$$

Enrhifo

$$-28x^{2}+142x-\frac{391}{4}$$

Camau Ateb

Defnyddio'r theorem binomaidd \left(a-b\right)^{2}=a^{2}-2ab+b^{2} i ehangu'r \left(x-\frac{1}{4}\right)^{2}.

$$36\left(x^{2}-\frac{1}{2}x+\frac{1}{16}\right)-64\left(x-\frac{5}{4}\right)^{2}$$

Defnyddio’r briodwedd ddosbarthu i luosi 36 â x^{2}-\frac{1}{2}x+\frac{1}{16}.

$$36x^{2}-18x+\frac{9}{4}-64\left(x-\frac{5}{4}\right)^{2}$$

Defnyddio'r theorem binomaidd \left(a-b\right)^{2}=a^{2}-2ab+b^{2} i ehangu'r \left(x-\frac{5}{4}\right)^{2}.

$$36x^{2}-18x+\frac{9}{4}-64\left(x^{2}-\frac{5}{2}x+\frac{25}{16}\right)$$

Defnyddio’r briodwedd ddosbarthu i luosi -64 â x^{2}-\frac{5}{2}x+\frac{25}{16}.

$$36x^{2}-18x+\frac{9}{4}-64x^{2}+160x-100$$

Cyfuno 36x^{2} a -64x^{2} i gael -28x^{2}.

$$-28x^{2}-18x+\frac{9}{4}+160x-100$$

Cyfuno -18x a 160x i gael 142x.

$$-28x^{2}+142x+\frac{9}{4}-100$$

Tynnu 100 o \frac{9}{4} i gael -\frac{391}{4}.

$$-28x^{2}+142x-\frac{391}{4}$$

Ehangu

$$-28x^{2}+142x-\frac{391}{4}$$

Camau Ateb

Defnyddio'r theorem binomaidd \left(a-b\right)^{2}=a^{2}-2ab+b^{2} i ehangu'r \left(x-\frac{1}{4}\right)^{2}.

$$36\left(x^{2}-\frac{1}{2}x+\frac{1}{16}\right)-64\left(x-\frac{5}{4}\right)^{2}$$

Defnyddio’r briodwedd ddosbarthu i luosi 36 â x^{2}-\frac{1}{2}x+\frac{1}{16}.

$$36x^{2}-18x+\frac{9}{4}-64\left(x-\frac{5}{4}\right)^{2}$$

Defnyddio'r theorem binomaidd \left(a-b\right)^{2}=a^{2}-2ab+b^{2} i ehangu'r \left(x-\frac{5}{4}\right)^{2}.

$$36x^{2}-18x+\frac{9}{4}-64\left(x^{2}-\frac{5}{2}x+\frac{25}{16}\right)$$

Defnyddio’r briodwedd ddosbarthu i luosi -64 â x^{2}-\frac{5}{2}x+\frac{25}{16}.

$$36x^{2}-18x+\frac{9}{4}-64x^{2}+160x-100$$

Cyfuno 36x^{2} a -64x^{2} i gael -28x^{2}.

$$-28x^{2}-18x+\frac{9}{4}+160x-100$$

Cyfuno -18x a 160x i gael 142x.

$$-28x^{2}+142x+\frac{9}{4}-100$$

Tynnu 100 o \frac{9}{4} i gael -\frac{391}{4}.

$$-28x^{2}+142x-\frac{391}{4}$$