Matematika (6x² + 5x³)(7x⁴ - 3x⁵)​

(6x² + 5x³)(7x⁴ - 3x⁵)​

Jawaban:

(6x² + 5x³)(7x⁴ - 3x⁵) = 42x⁶ - 17x⁷ - 15x⁸

Penjelasan dengan langkah-langkah:

(6x² × 7x⁴) = (6×7)x^(⁴+²) = 42x

(6x² × 3x⁵) = (6×3)x^(⁵+²) = 18x

(5x³ × 7x⁴) = (5×7)x^(³+⁴) = 35x

(5x³ × 3x⁵) = (5×3)x^(³+⁵) = 15x

» Gabungkan:

42x⁶ - 18x⁷ + 35x⁷ - 15x⁸

= 42x⁶ - ( 18x⁷ + 35x⁷ ) - 15x⁸

= 42x⁶ - 17x⁷ - 15x⁸

[tex] \sf(6 {x}^{2} . {7x}^{4} ) = {42x}^{6} \\ \sf( {6x}^{2} . \sf{3x}^{5} ) = {18x}^{7} [/tex]

[tex] \sf( {5x}^{3} . {7x}^{4} ) = {35x}^{7} \\ \sf( {5x}^{3} . {3x}^{5} ) = {15x}^{8} [/tex]

[tex] \sf \: = {42x}^{6} - {18x}^{7} + {35x}^{7} - {15x}^{8} [/tex]

[tex] \bf \: = \: {42x}^{6} - {44x}^{7} - {15x}^{8} [/tex]

[tex]\scriptsize\boxed{\colorbox{plum}{\colorbox{hotpink}{\sf \color{lavender}Answer♡By : @StellaOctangulla♡}}}[/tex]

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