Expand and simplify the following expression:

\((2x^2 - 3x + 4)(x^2 + 5x - 7)\)

( 2 x 2 − 3 x + 4 ) ( x 2 + 5 x − 7 ) = = 2 x 2 ∗ x 2 + 2 x 2 ∗ 5 x − 2 x 2 ∗ 7 − 3 x ∗ x 2 − 3 x ∗ 5 x + 3 x ∗ 7 + 4 ∗ x 2 + 4 ∗ 5 x − 4 ∗ 7 = = 2 x 4 + 10 x 3 − 14 x 2 − 3 x 3 − 15 x 2 + 21 x + 4 x 2 + 20 x − 28 = = 2 x 4 + 7 x 3 − 25 x 2 + 41 x − 28

Answered by Lilith | 2024-06-10

The expression ( 2 x 2 − 3 x + 4 ) ( x 2 + 5 x − 7 ) expands to 2 x 4 + 7 x 3 − 25 x 2 + 41 x − 28 after applying the distributive property and combining like terms.
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Answered by Lilith | 2024-12-24