Factor 7x³y – 63xy³

A furniture company created an L-shaped table by removing part of a square table.

Write an expression that represents the area of the L-shaped table.

a²-b² = (a-b)(a+b).

Select all polynomials that factor into a product into two binomials.
a)       25m² – 9n²
b)      25m² – 30mn + 9n²
c)       25m² – 30mn – 9n²
d)      25m² + 30mn + 9n²
e)      25m² + 9n²

Factorisation is breaking down of a polynomial into polynomials of lesser degrees.

Factor 2x³ + 32x² + 128x

Factor 16x² – 81y²

Factor 8x² – 32x + 32.

Factor 16x² + 40x + 25

Factor 100x² – 36.

Factor x² – 14x + 49

Factor the expression as a product of binomials.
x²   + x + ¼

Given the area of the square given, factor to find the side length.
Area = 36x² + 120x + 100

Factor the expression as a product of binomials.
p² – 49/100

Identify the value of c that would make the trinomial factorable using the perfect-square pattern.
x² - 10x + c

Identify the value of c that would make the trinomial factorable using the perfect-square pattern.
x² + 24x + c

Factor 3x³ – 12x² + 12x

Factor 49x² – 25