Multiply: 2x^2 - 4x + 5 by x^2 + 3x - 7

(2x 2 \- 4x \+ 5) (x 2 \+ 3x \- 7) = 2x 2 (x 2 \+ 3x \- 7) \- 4x (x 2 \+ 3x \- 7) \+ 5 (x 2 \+ 3x \- 7) = 2x (2+2) \+ 6x (2+1) \- 14x 2 \- 4x (1+2) \- 12x (1+1) \+ 28x \+ 5x 2 \+ 15x \- 35 = 2x 4 \+ 6x 3 \- 14x 2 \- 4x 3 \- 12x 2 \+ 28x \+ 5x 2 \+ 15x \- 35 = 2x 4 \+ (6x 3 \- 4x 3 ) \+ (\- 14x 2 \- 12x 2 \+ 5x 2 ) \+ (28x \+ 15x) \- 35 = 2x 4 \+ 2x 3 \- 21x 2 \+ 43x \- 35 Hence, (2x 2 \- 4x \+ 5) (x 2 \+ 3x \- 7) = 2x 4 \+ 2x 3 \- 21x 2 \+ 43x \- 35

Mathematics

Multiply:
2x² - 4x + 5 by x² + 3x - 7

Algebraic Expressions

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Answer

(2x² - 4x + 5) $\times$ (x² + 3x - 7)

= 2x² $\times$ (x² + 3x - 7) - 4x $\times$ (x² + 3x - 7) + 5 $\times$ (x² + 3x - 7)

= 2x⁽²⁺²⁾ + 6x⁽²⁺¹⁾ - 14x² - 4x⁽¹⁺²⁾ - 12x⁽¹⁺¹⁾ + 28x + 5x² + 15x - 35

= 2x⁴ + 6x³ - 14x² - 4x³ - 12x² + 28x + 5x² + 15x - 35

= 2x⁴ + (6x³ - 4x³) + (- 14x² - 12x² + 5x²) + (28x + 15x) - 35

= 2x⁴ + 2x³ - 21x² + 43x - 35

Hence, (2x² - 4x + 5) $\times$ (x² + 3x - 7) = 2x⁴ + 2x³ - 21x² + 43x - 35

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Mathematics

Multiply:
2x² - 4x + 5 by x² + 3x - 7

Algebraic Expressions

Answer

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Mathematics

Multiply:2x2 - 4x + 5 by x2 + 3x - 7

Algebraic Expressions

Answer

Related Questions

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Multiply:
2x² - 4x + 5 by x² + 3x - 7

Evaluate:
2x(3x - 5) - 5(x - 2) - 18 for x = 2.

Multiply and then verify:
-3x²y² and (x - 2y) for x = 1 and y = 2.

Multiply:
(ab - 1) (3 - 2ab)

Simplify:
(5 - x) (6 - 5x) (2 - x).