Question
Use suitable identity to find the product: $(x + 8)(x - 10)$
✓
Answer
$(x + 8)(x - 10)$
$= (x + 8){x + (-10)}$
(Using Identity) $(x + a)(x + b)$
$= x^2 + (a + b) x + ab$
$= x^2 + {8 + (-10)}x + (8)(-10)$
$= x^2 - 2x - 80$
$= (x + 8){x + (-10)}$
(Using Identity) $(x + a)(x + b)$
$= x^2 + (a + b) x + ab$
$= x^2 + {8 + (-10)}x + (8)(-10)$
$= x^2 - 2x - 80$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
There are 50 students in a class, of which 40 are boys. The average weight of the class is 44kg and that of the girls is 40kg. Find the average weight of the boys.
In a parallelogram ABCD, determine the sum of angles $\angle\text{C}$ and $\angle\text{D}$.
→Write the following in the expanded form : $(-2x + 3y + 2z)^2$
→Find the value of a for which $(x - 4)$ is a factor of $(2x^3 - 3x^2 - 18x + a).$
→Examine whether the following number are rational or irrational:
$\big(5-\sqrt{5}\big)\big(5+\sqrt{5}\big)$
→$\big(5-\sqrt{5}\big)\big(5+\sqrt{5}\big)$
Show that:
$\frac{\Big(\text{a}+\frac{1}{\text{b}}\Big)^\text{m}\times\Big(\text{a}-\frac{1}{\text{b}}\Big)^\text{n}}{\Big(\text{b}+\frac{1}{\text{a}}\Big)^\text{m}\times\Big(\text{b}-\frac{1}{\text{a}}\Big)^\text{n}}=\Big(\frac{\text{a}}{\text{b}}\Big)^{\text{m}+\text{n}}$
→$\frac{\Big(\text{a}+\frac{1}{\text{b}}\Big)^\text{m}\times\Big(\text{a}-\frac{1}{\text{b}}\Big)^\text{n}}{\Big(\text{b}+\frac{1}{\text{a}}\Big)^\text{m}\times\Big(\text{b}-\frac{1}{\text{a}}\Big)^\text{n}}=\Big(\frac{\text{a}}{\text{b}}\Big)^{\text{m}+\text{n}}$
Find a rational number between 1.3 and 1.4
In the adjoining figure, ABC and ABD are two triangles on the same base AB. If line segment CD is
bisected by AB at O, show that $\text{ar}(\triangle\text{ABC})=\text{ar}(\triangle\text{ABD}).$
→bisected by AB at O, show that $\text{ar}(\triangle\text{ABC})=\text{ar}(\triangle\text{ABD}).$
Simplify:
$\Bigg(\frac{15^\frac{1}{3}}{9^\frac{1}{4}}\Bigg)^{-6}$
→$\Bigg(\frac{15^\frac{1}{3}}{9^\frac{1}{4}}\Bigg)^{-6}$
Express the following equation in the form ax + by + c = 0 and indicate the values of a, b, c in case.$\frac{\text{x}}{2}-\frac{\text{y}}{3}=\frac{1}{6}+\text{y}$
→