Simplify: (X + Y – Z)X + (Z + X – Y)Y – (X + Y – Z)Z - Mathematics

Simplify: (x + y – z)x + (z + x – y)y – (x + y – z)z

Sum

(x + y – z)x + (z + x – y)y – (x + y – z)z

= x²+ xy – zx + yz + xy -y² – zx – yz + z²

= x² - y² + z² + 2xy – 2zx

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Chapter 11: Fundamental Concepts (Including Fundamental Operations) - Exercise 11 (F)

Chapter 11 Fundamental Concepts (Including Fundamental Operations)
Exercise 11 (F) | Q 30

Find the sum of: 4x³ + 2x² – x + 1, 2x³ – 5x² – 3x + 6, x2 + 8 and 5x³ – 7x

Subtract the second expression from the first:

4pq - 6p² - 2q² , 9p²

Simplify: 9a (2b – 3a + 7c)

Simplify: - 2x (x + y) + x²

(9x – 51) ÷ 9 is x – 51.

Write the greatest common factor in the following terms.

l²m²n, lm²n², l²mn²

Factorise the following expression.

6ab + 12bc

Factorise the following expression.

l²m²n – lm²n² – l²mn²

Identify the numerical coefficient of term (other than constant) in the following expression:

1 + t + t² + t³

Amisha has a square plot of side m and another triangular plot with base and height each equal to m. What is the total area of both plots?