Question

Simplify the following :
(i) (x−2y)(y−3x)+(x+y)(x−3y)−(y−3x)(4x−5y)
(ii) (m+n)(m²−mn+n²)
(iii) (a−2b+5c)(a−b)− (a−b−c)(2a+3c)+(6a+b)(2c−3a−5b)
(iv) (pq-qr+pr)(pq+qr)−(pr+pq)(p+q−r)

Answer 1

Answer:

2x(5x - y)

m³ + n³

Step-by-step explanation:

(x−2y)(y−3x)+(x+y)(x−3y)−(y−3x)(4x−5y)

= 7xy - 2y² -3x² + x² - 3y² -2xy - (-12x² -5y² + 19xy)

= 10x² - 14xy

= 2x(5x - y)

(x−2y)(y−3x)+(x+y)(x−3y)−(y−3x)(4x−5y) = 2x(5x - y)

(m+n)(m²−mn+n²)

= m³ - m²n + mn² + m²n - mn² + n³

= m³ + n³

(m+n)(m²−mn+n²) = m³ + n³