Issolvi {l}{(-m+6)^2}{-(m-6)^2}

$$\left. \begin{array} { l } { ( - m + 6 ) ^ { 2 } } \\ { - ( m - 6 ) ^ { 2 } } \end{array} \right.$$

Evalwa

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Passi tas-Soluzzjonijiet

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

$$\left(-m\right)^{2}+12\left(-m\right)+36-\left(m-6\right)^{2}$$

Ikkalkula -m bil-power ta' 2 u tikseb m^{2}.

$$m^{2}+12\left(-m\right)+36-\left(m-6\right)^{2}$$

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

$$m^{2}+12\left(-m\right)+36-\left(m^{2}-12m+36\right)$$

Biex issib l-oppost ta' m^{2}-12m+36, sib l-oppost ta' kull terminu.

$$m^{2}+12\left(-m\right)+36-m^{2}+12m-36$$

Ikkombina m^{2} u -m^{2} biex tikseb 0.

$$12\left(-m\right)+36+12m-36$$

Naqqas 36 minn 36 biex tikseb 0.

$$12\left(-m\right)+12m$$

Immultiplika 12 u -1 biex tikseb -12.

$$-12m+12m$$

Ikkombina -12m u 12m biex tikseb 0.

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Fattur

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Passi tas-Soluzzjonijiet

Id-differenza tal-kwadrati tista' tiġi fatturata billi tuża r-regola: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

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Ikkunsidra li -2m+12. Iffattura 'l barra 2.

$$2\left(-m+6\right)$$

Erġa' ikteb l-espressjoni ffatturata kompluta. Issimplifika.

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