Issolvi (9y+1)^2-(3y+4)(z-3y)

$$( 9 y + 1 ) ^ { 2 } - ( 3 y + 4 ) ( z - 3 y )$$

Evalwa

$$-\left(z-3y\right)\left(3y+4\right)+\left(9y+1\right)^{2}$$

Passi tas-Soluzzjonijiet

Uża teorema binomjali \left(a+b\right)^{2}=a^{2}+2ab+b^{2} biex tespandi \left(9y+1\right)^{2}.

$$81y^{2}+18y+1-\left(3y+4\right)\left(z-3y\right)$$

Uża l-propjetà distributtiva biex timmultiplika 3y+4 b'z-3y.

$$81y^{2}+18y+1-\left(3yz-9y^{2}+4z-12y\right)$$

Biex issib l-oppost ta' 3yz-9y^{2}+4z-12y, sib l-oppost ta' kull terminu.

$$81y^{2}+18y+1-3yz+9y^{2}-4z+12y$$

Ikkombina 81y^{2} u 9y^{2} biex tikseb 90y^{2}.

$$90y^{2}+18y+1-3yz-4z+12y$$

Ikkombina 18y u 12y biex tikseb 30y.

$$90y^{2}+30y+1-3yz-4z$$

Espandi

$$90y^{2}-3yz+30y-4z+1$$

Passi tas-Soluzzjonijiet

Uża teorema binomjali \left(a+b\right)^{2}=a^{2}+2ab+b^{2} biex tespandi \left(9y+1\right)^{2}.

$$81y^{2}+18y+1-\left(3y+4\right)\left(z-3y\right)$$

Uża l-propjetà distributtiva biex timmultiplika 3y+4 b'z-3y.

$$81y^{2}+18y+1-\left(3yz-9y^{2}+4z-12y\right)$$

Biex issib l-oppost ta' 3yz-9y^{2}+4z-12y, sib l-oppost ta' kull terminu.

$$81y^{2}+18y+1-3yz+9y^{2}-4z+12y$$

Ikkombina 81y^{2} u 9y^{2} biex tikseb 90y^{2}.

$$90y^{2}+18y+1-3yz-4z+12y$$

Ikkombina 18y u 12y biex tikseb 30y.

$$90y^{2}+30y+1-3yz-4z$$