Issolvi =(4x+3)^2-2(5x-3)(x+1)-2x(3x+10)

$$= ( 4 x + 3 ) ^ { 2 } - 2 ( 5 x - 3 ) ( x + 1 ) - 2 x ( 3 x + 10 )$$

Evalwa

$$15$$

Passi tas-Soluzzjonijiet

Uża teorema binomjali \left(a+b\right)^{2}=a^{2}+2ab+b^{2} biex tespandi \left(4x+3\right)^{2}.

$$16x^{2}+24x+9-2\left(5x-3\right)\left(x+1\right)-2x\left(3x+10\right)$$

Uża l-propjetà distributtiva biex timmultiplika -2 b'5x-3.

$$16x^{2}+24x+9+\left(-10x+6\right)\left(x+1\right)-2x\left(3x+10\right)$$

Uża l-propjetà distributtiva biex timmultiplika -10x+6 b'x+1 u kkombina termini simili.

$$16x^{2}+24x+9-10x^{2}-4x+6-2x\left(3x+10\right)$$

Ikkombina 16x^{2} u -10x^{2} biex tikseb 6x^{2}.

$$6x^{2}+24x+9-4x+6-2x\left(3x+10\right)$$

Ikkombina 24x u -4x biex tikseb 20x.

$$6x^{2}+20x+9+6-2x\left(3x+10\right)$$

Żid 9 u 6 biex tikseb 15.

$$6x^{2}+20x+15-2x\left(3x+10\right)$$

Uża l-propjetà distributtiva biex timmultiplika -2x b'3x+10.

$$6x^{2}+20x+15-6x^{2}-20x$$

Ikkombina 6x^{2} u -6x^{2} biex tikseb 0.

$$20x+15-20x$$

Ikkombina 20x u -20x biex tikseb 0.

$$15$$

Fattur

$$3\times 5$$