((x+3)(x-4)) का बहुपद रूप क्या है?
What is the polynomial form of ((x+3)(x-4))?
#multiplication
#binomials
#polynomial
A \(x^2-x-12\)
B \(x^2+7x-12\)
C \(x^2-x+12\)
D \(x^2-7x-12\)
Explanation opens after your attempt
Correct Answer
A. \(x^2-x-12\)
Step 1
Concept
((x+3)(x-4)=x-2 -4x+3x-12=x-2 -x-12). Watch signs while combining middle terms.
Step 2
Why this answer is correct
The correct answer is A. \(x^2-x-12\). ((x+3)(x-4)=x-2 -4x+3x-12=x-2 -x-12). Watch signs while combining middle terms.
Step 3
Exam Tip
((x+3)(x-4)=x-2 -4x+3x-12=x-2 -x-12)। मध्य पद जोड़ते समय संकेत देखें।
Login to save your score, XP, coins and progress. Login
((3x+2)2 -(3x-2)2 ) का सरल रूप क्या है?
What is the simplified form of ((3x+2)2 -(3x-2)2 )?
#polynomials
#algebraic-identities
#simplification
#binomials
A (,24x,)
B (,12x,)
C \(,36x^2,\)
D (,8,)
Explanation opens after your attempt
Correct Answer
A. (,24x,)
Step 1
Concept
This is of the form ((A+B)2 -(A-B)2 =4AB), where (A=3x) and (B=2), so the answer is (24x). In exams, identities save time.
Step 2
Why this answer is correct
The correct answer is A. (,24x,). This is of the form ((A+B)2 -(A-B)2 =4AB), where (A=3x) and (B=2), so the answer is (24x). In exams, identities save time.
Step 3
Exam Tip
यह ((A+B)2 -(A-B)2 =4AB) का रूप है, जहां (A=3x) और (B=2), इसलिए उत्तर (24x) है। परीक्षा में identity से समय बचता है।
Login to save your score, XP, coins and progress. Login
((2x-1)(3x+4)) का विस्तार क्या होगा?
What is the expansion of ((2x-1)(3x+4))?
#polynomials
#multiplication
#binomials
#expansion
A \(,6x^2+5x-4,\)
B \(,6x^2-5x-4,\)
C \(,6x^2+11x-4,\)
D \(,6x^2+5x+4,\)
Explanation opens after your attempt
Correct Answer
A. \(,6x^2+5x-4,\)
Step 1
Concept
By distribution, \(6x^2+8x-3x-4=6x^2+5x-4\). In exams, combine cross terms with the correct sign.
Step 2
Why this answer is correct
The correct answer is A. \(,6x^2+5x-4,\). By distribution, \(6x^2+8x-3x-4=6x^2+5x-4\). In exams, combine cross terms with the correct sign.
Step 3
Exam Tip
वितरण से \(6x^2+8x-3x-4=6x^2+5x-4\) मिलता है। परीक्षा में cross terms को सही sign के साथ जोड़ें।
Login to save your score, XP, coins and progress. Login
((x+4)(x+3)) का विस्तार क्या है?
What is the expansion of ((x+4)(x+3))?
#polynomials
#multiplication
#binomials
A \(x^2+7x+12\)
B \(x^2+12x+7\)
C \(x^2+7\)
D (2x+7)
Explanation opens after your attempt
Correct Answer
A. \(x^2+7x+12\)
Step 1
Concept
By distribution, \(x^2+3x+4x+12=x^2+7x+12\). Combine like terms.
Step 2
Why this answer is correct
The correct answer is A. \(x^2+7x+12\). By distribution, \(x^2+3x+4x+12=x^2+7x+12\). Combine like terms.
Step 3
Exam Tip
वितरण नियम से \(x^2+3x+4x+12=x^2+7x+12\) मिलता है। समान पदों को जोड़ें।
Login to save your score, XP, coins and progress. Login
((x+3)(x+2)) का विस्तार क्या है?
What is the expansion of ((x+3)(x+2))?
#polynomials
#multiplication
#binomials
A \(x^2+5x+6\)
B \(x^2+6x+5\)
C \(x^2+5\)
D (2x+5)
Explanation opens after your attempt
Correct Answer
A. \(x^2+5x+6\)
Step 1
Concept
By distribution, \(x^2+2x+3x+6=x^2+5x+6\). The middle term forms by combining like terms.
Step 2
Why this answer is correct
The correct answer is A. \(x^2+5x+6\). By distribution, \(x^2+2x+3x+6=x^2+5x+6\). The middle term forms by combining like terms.
Step 3
Exam Tip
वितरण नियम से \(x^2+2x+3x+6=x^2+5x+6\)। मध्य पद समान पद जोड़कर बनता है।
Login to save your score, XP, coins and progress. Login