Issolvi 4x*(x+6)^2-3x^2

$$4 x \cdot ( x + 6 ) ^ { 2 } - 3 x ^ { 2 }$$

Evalwa

$$x\left(4x^{2}+45x+144\right)$$

Passi tas-Soluzzjonijiet

Uża teorema binomjali \left(a+b\right)^{2}=a^{2}+2ab+b^{2} biex tespandi \left(x+6\right)^{2}.

$$4x\left(x^{2}+12x+36\right)-3x^{2}$$

Uża l-propjetà distributtiva biex timmultiplika 4x b'x^{2}+12x+36.

$$4x^{3}+48x^{2}+144x-3x^{2}$$

Ikkombina 48x^{2} u -3x^{2} biex tikseb 45x^{2}.

$$4x^{3}+45x^{2}+144x$$

Espandi

$$4x^{3}+45x^{2}+144x$$

Passi tas-Soluzzjonijiet

Uża teorema binomjali \left(a+b\right)^{2}=a^{2}+2ab+b^{2} biex tespandi \left(x+6\right)^{2}.

$$4x\left(x^{2}+12x+36\right)-3x^{2}$$

Uża l-propjetà distributtiva biex timmultiplika 4x b'x^{2}+12x+36.

$$4x^{3}+48x^{2}+144x-3x^{2}$$

Ikkombina 48x^{2} u -3x^{2} biex tikseb 45x^{2}.

$$4x^{3}+45x^{2}+144x$$