Questions

Solve: Which of the following is equivalent to $x^3 \times x^5$?

Factorise completely $p^3q^2 + pq^5m$.

Factorise the quadratic expression $x^2 + 7x + 12$.

Solve the equation $x^2 + 5x + 6 = 0$ by factorization.

Which of the following statements is an algebraic identity?

**Solve:** Simplify $y^8 \div y^2$.

Factorise $ax+bx+ay+by$.

Factorise the quadratic expression $3x^2 + 13x - 10$.

Solve the equation $x^2 - 81 = 0$ by factorization.

**Which expression is identical to $5(y - 3) + 4$?**

Solve: Simplify $(a^4)^3$.

Factorise $a^2 - b^2$.

Factorise $x^2 - 10x + 25$.

Solve the equation $2x^2 - 8 = 0$ by factorization.

**Which expression is identical to $2(2x + 1) + 1$?**

Solve: What is the value of $7^0$?

Factorise $9x^2 - 16y^2$.

Factorise $x^2 - 16$.

What are the values of $a$, $b$, and $c$ in the quadratic formula for the equation $2x^2 - 7x - 4 = 0$?

**To prove $4x^2 - 9 \equiv (2x + 3)(2x - 3)$, which algebraic rule should be used?**