Question

the expansion of ( x-10) ( x+12) is ___.​

Answer 1

Answer:

x² + 2x - 120

Step-by-step explanation:

( x-10) ( x+12)       [(x + a)(x + b) = x² + x(a + b) + ab]

==> x² + x(-10 + 12) + (-10 × 12)

==> x² + 2x - 120

Answer 2

Given data:$(x-10)(x+12)$

To find: The expanded form of the equation $(x-10)(x+12)$

Solution:

• In an algebraic equation, the left hand side of the expression must be equal to the right hand side of the expression.
• The given equation is $(x-10)(x+12)$
• By using the formula,$(x+a)(x+b)=x(x+b)+a(x+b)$,  substitute $a=-10,b=12$ in the given equation,$x(x+12)-10(x+12)$  as positive and negative makes negative.
• Simplify the equation,$x^{2} +12x-10x-120$
• Therefore, the equation becomes $x^{2} +2x-120$
• Hence, the expansion of $(x-10)(x+12)$ is $x^{2} +2x-120$