Multiply: 9x2 + 25y2 + 15xy + 12x − 20y + 16 by 3x − 5y + 4

Multiply: 9x² + 25y² + 15xy + 12x − 20y + 16 by 3x − 5y + 4

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Chapter 5: Factorisation of Algebraic Expressions - Exercise 5.4 [Page 23]

Chapter 5 Factorisation of Algebraic Expressions
Exercise 5.4 | Q 8.4 | Page 23

Factorize 4( x - y)² -12( x - y)( x + y ) + 9(x + y )²

Factorize `x^2 + 6sqrt2x + 10`

Find the value of the following expression: 16x² + 24x + 9, when \[x = \frac{7}{4}\]

Simplify : \[\frac{1 . 2 \times 1 . 2 \times 1 . 2 - 0 . 2 \times 0 . 2 \times 0 . 2}{1 . 2 \times 1 . 2 + 1 . 2 \times 0 . 2 + 0 . 2 \times 0 . 2}\]

Multiply: (3x - 5y + 2)(5x - 4y - 3)

Divide: x² + 4xy + 4y² by x + 2y

Write in the form of an algebraic expression:

Surface area of a cube is six times the square of its edge.

Express the following as an algebraic expression:

Sum of p and 2r – s minus sum of a and 3n + 4x.

Match Column I with Column II in the following:

Column I	Column II
1. The difference of 3 and a number squared	(a) 4 – 2x
2. 5 less than twice a number squared	(b) n² – 3
3. Five minus twice the square of a number	(c) 2n² – 5
4. Four minus a number multiplied by 2	(d) 5 – 2n²
5. Seven times the sum of a number and 1	(e) 3 – n²
6. A number squared plus 6	(f) 2(n + 6)
7. 2 times the sum of a number and 6	(g) 7(n + 1)
8. Three less than the square of a number	(h) n² + 6

In the term 10xyz, what is the numerical coefficient?