Maths ·Class 9 Maths

Algebra tiles can be used to represent products and find factors. Class 9

RBSEGuide

· Jul 06, 2026 · Reviewed & updated Sep 17, 2026 · 1 min read

Question 1.

i. Figure out the product of x + 2 and x + 3 using algebra tiles.

ii. Lay out algebra tiles for x² + 11x + 30 in such a way that you will see its factors.

Answer:

∴ (x + 2) (x + 3) = x² + 5x + 6

ii. 11x = 5x + 6x

∴ x² + 11x + 30 = (x + 5)(x + 6)

Question 2.

We have seen that

(x + 3) (x + 4) = x² + 7x + 12. Class 9

Also (x + 6) (x + 7) = x² + 13x + 42.

Generalise the pattern to get an expression for (x + a) (x + b).

Answer:

(x + a)(x + b) = x² + (a + b) x + ab