Whakaoti i te (7x+3b)^3-(5x+3b)^3-6x(7x+3b)(5x+3b)

$$( 7 x + 3 b ) ^ { 3 } - ( 5 x + 3 b ) ^ { 3 } - 6 x ( 7 x + 3 b ) ( 5 x + 3 b )$$

Aromātai

$$8x^{3}$$

Ngā Upane Otinga

Whakamahia te ture huarua \left(p+q\right)^{3}=p^{3}+3p^{2}q+3pq^{2}+q^{3} hei whakaroha \left(7x+3b\right)^{3}.

$$343x^{3}+441x^{2}b+189xb^{2}+27b^{3}-\left(5x+3b\right)^{3}-6x\left(7x+3b\right)\left(5x+3b\right)$$

Whakamahia te ture huarua \left(p+q\right)^{3}=p^{3}+3p^{2}q+3pq^{2}+q^{3} hei whakaroha \left(5x+3b\right)^{3}.

$$343x^{3}+441x^{2}b+189xb^{2}+27b^{3}-\left(125x^{3}+225x^{2}b+135xb^{2}+27b^{3}\right)-6x\left(7x+3b\right)\left(5x+3b\right)$$

Hei kimi i te tauaro o 125x^{3}+225x^{2}b+135xb^{2}+27b^{3}, kimihia te tauaro o ia taurangi.

$$343x^{3}+441x^{2}b+189xb^{2}+27b^{3}-125x^{3}-225x^{2}b-135xb^{2}-27b^{3}-6x\left(7x+3b\right)\left(5x+3b\right)$$

Pahekotia te 343x^{3} me -125x^{3}, ka 218x^{3}.

$$218x^{3}+441x^{2}b+189xb^{2}+27b^{3}-225x^{2}b-135xb^{2}-27b^{3}-6x\left(7x+3b\right)\left(5x+3b\right)$$

Pahekotia te 441x^{2}b me -225x^{2}b, ka 216x^{2}b.

$$218x^{3}+216x^{2}b+189xb^{2}+27b^{3}-135xb^{2}-27b^{3}-6x\left(7x+3b\right)\left(5x+3b\right)$$

Pahekotia te 189xb^{2} me -135xb^{2}, ka 54xb^{2}.

$$218x^{3}+216x^{2}b+54xb^{2}+27b^{3}-27b^{3}-6x\left(7x+3b\right)\left(5x+3b\right)$$

Pahekotia te 27b^{3} me -27b^{3}, ka 0.

$$218x^{3}+216x^{2}b+54xb^{2}-6x\left(7x+3b\right)\left(5x+3b\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -6x ki te 7x+3b.

$$218x^{3}+216x^{2}b+54xb^{2}+\left(-42x^{2}-18xb\right)\left(5x+3b\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te -42x^{2}-18xb ki te 5x+3b ka whakakotahi i ngā kupu rite.

$$218x^{3}+216x^{2}b+54xb^{2}-210x^{3}-216x^{2}b-54xb^{2}$$

Pahekotia te 218x^{3} me -210x^{3}, ka 8x^{3}.

$$8x^{3}+216x^{2}b+54xb^{2}-216x^{2}b-54xb^{2}$$

Pahekotia te 216x^{2}b me -216x^{2}b, ka 0.

$$8x^{3}+54xb^{2}-54xb^{2}$$

Pahekotia te 54xb^{2} me -54xb^{2}, ka 0.

$$8x^{3}$$

Whakaroha

$$8x^{3}$$

Ngā Upane Otinga

Whakamahia te ture huarua \left(p+q\right)^{3}=p^{3}+3p^{2}q+3pq^{2}+q^{3} hei whakaroha \left(7x+3b\right)^{3}.

$$343x^{3}+441x^{2}b+189xb^{2}+27b^{3}-\left(5x+3b\right)^{3}-6x\left(7x+3b\right)\left(5x+3b\right)$$

Whakamahia te ture huarua \left(p+q\right)^{3}=p^{3}+3p^{2}q+3pq^{2}+q^{3} hei whakaroha \left(5x+3b\right)^{3}.

$$343x^{3}+441x^{2}b+189xb^{2}+27b^{3}-\left(125x^{3}+225x^{2}b+135xb^{2}+27b^{3}\right)-6x\left(7x+3b\right)\left(5x+3b\right)$$

Hei kimi i te tauaro o 125x^{3}+225x^{2}b+135xb^{2}+27b^{3}, kimihia te tauaro o ia taurangi.

$$343x^{3}+441x^{2}b+189xb^{2}+27b^{3}-125x^{3}-225x^{2}b-135xb^{2}-27b^{3}-6x\left(7x+3b\right)\left(5x+3b\right)$$

Pahekotia te 343x^{3} me -125x^{3}, ka 218x^{3}.

$$218x^{3}+441x^{2}b+189xb^{2}+27b^{3}-225x^{2}b-135xb^{2}-27b^{3}-6x\left(7x+3b\right)\left(5x+3b\right)$$

Pahekotia te 441x^{2}b me -225x^{2}b, ka 216x^{2}b.

$$218x^{3}+216x^{2}b+189xb^{2}+27b^{3}-135xb^{2}-27b^{3}-6x\left(7x+3b\right)\left(5x+3b\right)$$

Pahekotia te 189xb^{2} me -135xb^{2}, ka 54xb^{2}.

$$218x^{3}+216x^{2}b+54xb^{2}+27b^{3}-27b^{3}-6x\left(7x+3b\right)\left(5x+3b\right)$$

Pahekotia te 27b^{3} me -27b^{3}, ka 0.

$$218x^{3}+216x^{2}b+54xb^{2}-6x\left(7x+3b\right)\left(5x+3b\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -6x ki te 7x+3b.

$$218x^{3}+216x^{2}b+54xb^{2}+\left(-42x^{2}-18xb\right)\left(5x+3b\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te -42x^{2}-18xb ki te 5x+3b ka whakakotahi i ngā kupu rite.

$$218x^{3}+216x^{2}b+54xb^{2}-210x^{3}-216x^{2}b-54xb^{2}$$

Pahekotia te 218x^{3} me -210x^{3}, ka 8x^{3}.

$$8x^{3}+216x^{2}b+54xb^{2}-216x^{2}b-54xb^{2}$$

Pahekotia te 216x^{2}b me -216x^{2}b, ka 0.

$$8x^{3}+54xb^{2}-54xb^{2}$$

Pahekotia te 54xb^{2} me -54xb^{2}, ka 0.

$$8x^{3}$$