Advertisements
Advertisements
Question
Simplify : (3y + 4z) (3y – 4z) + (2y + 7z) (y + z)
Sum
Advertisements
Solution
(3y + 4z) (3y – 4z) + (2y + 7z) (y + z)
= 3y (3y – 4z) + 4z (3y – 4z) + 2y (y + z) (y + z)
= 9y2 – 12yz + 12yz – 16z2 + 2y2 + 2yz + 7yz + 7z2
= (9+2)y2 + (–12 + 12 + 2 + 7)yz + (–16 + 7)z2
= 11y2 + 9yz – 9z2
shaalaa.com
Multiplying a Polynomial by a Polynomial
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Multiply: 6x3 − 5x + 10 by 4 − 3x2
Simplify: (5a + 5b – c) (2b – 3c)
The adjacent sides of a rectangle are x2 – 4xy + 7y2 and x3 – 5xy2. Find its area.
Evaluate (3x4y2) (2x2y3) for x = 1 and y = 2.
Evaluate (x5) × (3x2) × (-2x) for x = 1.
If x = 2 and y = 1; find the value of (−4x2y3) × (−5x2y5).
Evaluate: (2x – 5y)(2x + 3y) for x = 2 and y = 3.
Evaluate: x(x – 5) + 2 for x = 1.
Evaluate: xy2(x – 5y) + 1 for x = 2 and y = 1.
Multiply: 2x2 – 4x + 5 by x2 + 3x – 7
