Question

Expand and combine like terms.

(2x^4+3x^3)(2x^4−3x^3)=

Answer 1

$(2x^{4}+ {3x}^{3} ) \times (2x^{4}-3x^{3} ) \\ = ((2x + 2x)+(3x\times3x\times3x)) \times ((2x \times 2x \times 2x \times 2x ) - (3x \times 3x \times 3x) \\ = (4x + 27x) \times (16x -27x) \\ = (31x) \times (11x)$

Therefore,

(2x^4 + 3x^3)(2x^4 - 3x^3)

=> (31x)*(11x)

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