Question

Find the sum of: (-3x²) + 5x² + (-4x²) + 6x² + (-x²)​

Answer 1

Answer:

We can add all the terms directly because all the terms are same

(-3x²) + 5x² + (-4x²) + 6x² + (-x²)

⇒ 2x² + (-4x²) + 6x² + (-x²)

⇒ (-2x²) + 6x² + (-x²)

⇒ 4x² + (-x²)

⇒ 3x²

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Answer 2

Answer:

$3 {x}^{2}$

Step-by-step explanation:

Since all terms have x^2 in common hence

$( - 3 {x}^{2}) + 5 {x}^{2} + ( - 4 {x}^{2} ) + 6 {x}^{2} + ( - {x}^{2} ) \\ = - 3 {x}^{2} + 5 {x}^{2} - 4 {x}^{2} + 6 {x}^{2} - {x}^{2} \\ = ( - 3 + 5 - 4 + 6 - 1) {x}^{2} \\ = (11 - 3 - 4 - 1) {x }^{2} \\ = (8 - 4 - 1) {x}^{2} \\ = (4 - 1) {x}^{2} \\ = 3 {x}^{2}$

Hence the answer is 3x^2